Usually, we express ratios in terms of m:n, and to convert it to the percentage you just need to divide m by n and multiply with 100. Check out the Step by Step Procedure listed to convert Ratio to Percentage in the coming sections. Get Solved Examples on how to convert the ratio to percentage and apply the same in your calculations.

How to Convert Ratio to Percentage?

Follow the simple and easy steps listed for Ratio to Percentage Conversion and make your work much simple. They are along the lines

• Firstly, obtain the given ratio and convert it to a fraction.
• Work out the division between the given fraction.
• Multiply the obtained decimal with 100 to get the Percentage Value.
• Add a Percentage Symbol after the result.

Solved Examples on Ratio to Percentage Conversion

1. If the Ratio is 8:2, What is it in Percentage Form?

Solution:

Given Ratio = 8:2

Change the Given Ratio to Fraction Form = 8/2

Perform Division between the fraction and change it to a decimal value i.e 8/2 = 4

Simply multiply the result with 100 and place a % symbol at the end.

= 4*100

= 400%

Therefore, Ratio 8:2 converted to Percentage is 400%.

2.  John got his monthly salary. The ratio of expenditure to savings is 5:2. What percentage of the salary, did he spend, and what percentage was saved by him?

Solution:

Since the expenditure and savings are 5 and 2 the salary can be taken as 5+2 = 7 parts. This implies the expenditure is 5/7 parts and savings are 2/7 parts.

Converting Ratio to Percentage we get

Expenditure Percentage = 5/7*100 = 71.42%

Savings Percentage = 2/7*100 = 28.57%

3. There are 50 students in a class of which 15 are boys. What is the Percentage of Boys?

Solution:

Given Ratio is 15:50

Converting it to Fraction Form we have 15/50

= 3/10

Multiply the fraction obtained with 100 and place a % symbol at the end

= 3/10*100

= 30%

Therefore, the Percentage of Boys in the Class of 50 Students is 30%.

4. The Angles of a Triangle are in the Ratio of 1:3:2? Find the Value of each angle along with the percentage of each angle?

Solution:

Since the angles are in the ratio 1:3:2 total parts = 1+3+2 = 6

The measure of the first angle = 1/6*180 = 30 degrees

The measure of the second angle = 3/6*180 = 90 degrees

The measure of the third angle = 2/6*180 = 60 degrees

First Angle Percentage = 1/6*100 = 16.66 %

Second Angle Percentage = 3/6*100 = 50%

Third Angle Percentage = 2/6*100 = 33.33%

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Learning how to convert a percentage to decimals is a quick skill that you might need to make your estimations easy. You can get the entire procedure on expressing Percentages as Decimal in the later sections. Get to know the Step by Step Procedure for converting percentages to decimals along with solved examples. Make your calculations quite easy by knowing about Percentage to Decimal Conversion and how they are related.

How to Convert a Percent to Decimal?

Below are the simple and easy guidelines for converting percentages to decimal. They are in the following fashion

• Firstly, obtain the percent that needs to be converted to decimal.
• Remove the percentage sign and simply divide with 100.
• Express the fraction in decimal value and that is the required decimal value.

Another shortcut way to convert percent to decimal is just that you need to move the decimal two places to the left.

Solved Examples on Percent to Decimal Conversion

1. Express 25% as a decimal?

Solution:

Given Percentage is 25%

Remove the % sign and divide with 100 i.e. 25/100

Express the fraction in terms of a decimal i.e. 25/100 = 0.25

Therefore, 25% converted to a decimal is 0.25

2. Convert 7.5% to decimal?

Solution:

Given Percentage Value = 7.5%

Remove the % sign and divide with 100.

7.5/100

Express the resultant fraction in terms of a decimal value i.e. 0.075

Therefore, 7.5% in decimal value is 0.075.

3. Convert 230% to Decimal?

Solution:

Short cut way to change the percentage to decimal is to move the decimal two places left

230. → 23.0  → 2.30

Therefore, 230% expressed in decimal value is 2.30

4. Convert 84% to decimal?

Solution:

Given Percentage = 84%

Short cut way to change the percentage to decimal is to move the decimal two places left

84.0 → 8.40 → 0.84

Therefore, 84% in decimal is 0.84

The post Percentage to Decimal Calculator | How to Convert Percent into Decimal? appeared first on Learn CBSE.

You will no longer feel the Decimal to Percentage Conversion difficult anymore with our article. Get the detailed procedure to convert percent to a decimal and perform required conversions easily. Furthermore, have a look at the example problems provided and clarify all your concerns while solving related problems.

How to Write a Percent as a Decimal?

Follow the below-provided steps and convert percent to decimal easily. They are as under

• Obtain the number in decimal form
• Convert from decimal to a percentage by simply multiplying with 100 and remove the % sign.

Another method for converting percentage to decimal is to simply move the decimal point 2 places to the right and add a percent(%) sign.

Solved Examples on Conversion of Decimal to Percent

1. Express Decimal 0.13 as Percentage?

Solution:

Given Decimal 0.13

Multiply the decimal value with 100 and place the % symbol after the result

0.13*100

= 13%

Therefore, 0.13 in Percentage is 13%.

2. Convert the following decimal values to Percent?

(i) 0.073 (ii) 0.002 (iii) 1.012

Solution:

(i) 0.073

Multiply the decimal value with 100 and place the % symbol after the result

0.073*100 = 7.3%

(ii) 0.002

Multiply the decimal value with 100 and place the % symbol after the result

0.002*100 = 0.2%

(iii) 1.012

Multiply the decimal value with 100 and place the % symbol after the result

1.012*100 = 101.2%

3. Convert the following decimals to Percentage?

(i) 0.4 (ii) 0.54

Solution:

(i) 0.4

Simply move the decimal point 2 places to the right and add a percent(%) sign.

0.4 → 40

Therefore, 0.4 as a Percentage is 40%.

(ii) 0.54

Simply move the decimal point 2 places to the right and add a percent(%) sign.

0.54 → 54

Therefore, 0.54 as a Percentage is 54%.

4. Convert 0.935 to percent?

Solution:

Simply move the decimal point 2 places to the right and add a percent(%) sign.

0.935 → 93.5%

Therefore, 0.935 as a Percentage is 93.5%.

The post Decimal to Percentage | Decimal to Percent Conversion Calculator appeared first on Learn CBSE.

If you wish to know the Percentage of a Quantity this article is going to help you a lot. Get to know about the step by step procedure for finding a percentage of a quantity. You will learn about What is a Percentage and How to find the Percentage of a Given Number in the coming modules. Have a glance at the solved examples and know the approach used to solve related problems.

What is Percentage?

The Word Percent means Per Hundred. The percentage is a Ratio or Number as a fraction over 100. The percentage is followed by symbol %. It is the result obtained on multiplying a specific number by percent. Percentage of a Quantity is followed by the Phrase “of”.

Ex: 5%, 12%

How to find a Percentage of a Quantity?

Follow the simple and easy steps listed below to get the percentage of a quantity. They are along the lines

• Obtain the number and consider it as n
• Get the Percentage Value from the given data and assume it to be R%
• To find R% of n you just need to multiply R with n and then divide the value by 100 to acquire the Percentage Value.

To help you understand the Percentage of a Quantity and its procedure above we have listed solved examples below.

Solved Examples on Finding the Percentage of a Given Quantity

1. Find the Value of 35% of 200?

Solution:

We need to find 25% of 200

Phrase Of is nothing but multiplication.

= (25/100)*200

= 50

2. What is 12% of 1 Hour?

Solution:

We need to find 12% of 1 Hour

1 Hour = 60 minutes

= (12/100)*60

= 7.2 minutes

3. Find the number whose 10% is 70?

Solution:

Let the required number be n

(10*n)/100 = 70

10n = 70*100

n = (70*100)/10

= 700

Therefore, 10% of 700 is 70.

4. Find 15% of 400Kg?

Solution:

15% of 400Kg

= 15/100*(400)

= 60Kg

Therefore, 15% of 400Kg is 60 Kg.

5. What percent of 90 is 18?

Solution:

Divide the quantity by the percentage

= 18/90

Multiply with 100

= (18/90)*100

= 1/5*100

= 20%

20% of 90 is 18.

Word Problems on Finding the Percentage of a Given Quantity

6. What is the Sum of Money of Which 20% of $500?

Solution:

Let the sum of money to be found is $m.

20%*m = 500

20/100*m = 500

m = 500*100/20

=2500

Therefore, 20% of $2500 is $500.

7. An alloy contains 12 % of copper. What quantity of alloy is required to get 240 g of copper?

Solution:

Let the quantity of alloy needed = m g

12% of m = 240g

12/100*m = 240

m = (240*100)/12

= 2000g

The quantity of alloy required to get 240g of copper is 2000g.

8. In a basket of guava, 12% of them are spoiled and 60 are in good condition. Find the total number of guava in the basket?

Solution:

Let us consider the amount of guava to be found as m

12% of them spoiled and 60 are in good condition. From this statement, we can write as follows

88% of m = 60

88/100*m = 60

m = (60*100)/88

m = 68

Therefore, the total number of guava in the basket is 68.

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If you are searching for help on how to get the coordinates of a point you have arrived at the correct place. Check out the complete details about a point x coordinate, y coordinate in the following sections of this page. Get to know what is meant by coordinates and how to find the coordinates of a point in a coordinate geometry along with few examples to get a better idea of the concept.

Coordinates of a Point Definition

Coordinates are nothing but a set of real numbers that represent the exact position of a point in a cartesian plane, Generally, a two-dimensional coordinate plane has two axes namely the x-axis, y-axis. The two coordinates of a point are abscissa or x coordinate, ordinate or y coordinate.

Steps to Find Coordinates of a Point in a Plane

In order to find the coordinates of a point, you must have a coordinate plane. The concept of finding the point coordinates is quite easy.

• As a first step, check out the coordinate graph having both horizontal and vertical lines.
• Find in which quadrant the given point falls and based on that you will get the signs of coordinates of a point.
• Draw two dotted perpendicular lines from the point to the x-axis, y-axis.
• Measure the distance between the dotted line meeting point on the x-axis and consider it as x coordinate.
• Likewise, measure the distance from the origin to the dotted line meeting point on the y-axis.
• Take it as y coordinate.
• Then, write your point as (x_coordinate_value, y_coordinate_value).

Point Coordinates

In any two dimensional plane, each point has two coordinates. The first coordinate is called the x coordinate which is measured along the x-axis. The second coordinate of the point is called the y coordinate which is measured along the y-axis. More details about the coordinates are mentioned below.

Abscissa: It is defined as the first number of a point which is present before the comma and after the opening parenthesis. It is also known as the x coordinate. Its value can be positive or negative. If the abscissa is zero, then we call it a point on the y-axis. Usually, the x coordinate value is measured along the x-axis.

Ordinate: The second number of an ordered pair is called the ordinate. It is also called the y coordinate. It is available after the comma and before the closing parenthesis, it can be negative or positive. If the y coordinate value is zero in a point, then it is called the point on the x-axis. Generally, its value is measured along the y-axis.

Solved Examples

1. In the adjoining figure, XOX’ and YOY’ are the co-ordinate axes. Find out the coordinates of points P, Q, R, S. And also write x coordinate, y coordinate of each point?

Solution:

To find the point P:

Point P is the fourth quadrant. So its abscissa is positive, the ordinate is negative.

The perpendicular distance of the point from the x-axis is 1 unit, y-axis also 1 unit.

So, x coordinate is 1, y coordinate is -1.

Therefore, point P (1, -1)

To locate the point Q:

As Q is in the first quadrant, its coordinates are positive.

The perpendicular distance between point and origin on the x-axis is 2 units, on the y-axis is 4 units.

So, abscissa is 2, ordinate is 4

Therefore, Q (2, 4)

To locate point R:

The point R is the second quadrant. So, the R x coordinate is negative and the y coordinate is positive.

The perpendicular distance of the point on the x-axis is 5 units, the y-axis is 3 units.

X coordinate is -5, y coordinate is 3.

Therefore R (-5, 3)

To find the point S:

The point S is located in the fourth quadrant.

The perpendicular distance of the point from the x-axis is 6 units and it is positive.

The perpendicular distance along the y-axis is 3 units and it is negative.

So, abscissa is 6, ordinate is -3

Therefore S (6, -3)

Example 2.

Find the coordinates of A, B from the following figure?

Solution:

To locate point A:

Point A is on the x-axis.

So, the y coordinate is 0.

The point is -4 units away from the origin.

So the x coordinate is -4.

Therefore, A (-4, 0).

To find point B:

It is located in the third quadrant. So both coordinates are negative.

The distance from the point to the x-axis is 7 units, the y-axis is 2 units.

Therefore, Point B (-7, -2).

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In an ordered pair, the sign of coordinates decides that particular point goes into which quadrant of the coordinate plane. If you are not aware of the importance of coordinate signs, then you may face issues while plotting points on the coordinate graph. So, check out the step by step process to find the quadrant of a point. Have a glance at the solved examples and understand the concept better.

Steps to Find Signs of Coordinates of a Point in All Quadrants

These are the simple steps to identify the signs of coordinates of a point easily. On a coordinate graph the lines X’OX, Y’OY represent the coordinate axes. In that line, OX is considered as the positive x-axis, and OX’ is taken as the negative x-axis. In the same way, OY is a positive y-axis and OY’ is a negative y-axis.

As we all know that in a point (x, y) x represents the abscissa or x coordinate value, and y represents the ordinate or y coordinate. You must observe the sign of these x and y coordinates to choose which part of the graph the point goes into.

If both x, y > 0, then the point is in quadrant I

If x < 0, y >0, then the point is in quadrant II

If x < 0, y < 0, then the point lies in quadrant III

If x > 0, y <0= 0, then point goes to quadrant IV

The below-mentioned graph will give brief information.

The main important points about the point coordinates sign are listed below.

• Any point having abscissa, ordinate as positive lies in the first quadrant.
• The coordinates of a point lie in the second quadrant when its x coordinate is negative and the y coordinate is positive.
• When a point is in the third quadrant, then its abscissa and ordinates are having negative signs.
• The points in the fourth quadrant have the x coordinate positive sign and the y coordinate negative sign.

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When you draw the x-axis, y-axis on a coordinate graph quadrants is formed. In every two dimensional graph, we will get 4 quadrants. In this page, we are discussing the All Four Quadrants concept. It is one of the important topics in coordinate geometry. This article is very useful for students who are preparing for their exams.

We giving the complete details regarding quadrants, its definition, signs of coordinates on each quadrant, and its examples in the following sections. Have a look at them and know about quadrant 1, quadrant 2, quadrant 3, and quadrant 4.

Quadrant Definition

Take a graph and draw two perpendicular lines horizontal line (x-axis), vertical line (y-axis). These two axes divide the plane into 4 equal parts. Each part is called a quadrant. Those two perpendicular lines meet at a point called the origin. By convention, quadrants are named in an anticlockwise direction. The names of all four quadrants are quadrant I, quadrant II, quadrant III, quadrant IV. All these quadrants are differentiated by the sign of coordinates of the points.

Signs of Quadrants on the x-axis, y-axis

Depending upon the sign of coordinates, quadrants are divided into 4 types. You have to know the signs of abscissa and ordinate of an ordered pair to check under which quadrant the point lies in.

Quadrant I: In the first quadrant, both coordinates are positive values. The region is XOY.

Quadrant II: In this quadrant, the x value is negative and the y value is positive. The region of X’OY.

Quadrant III: In this quadrant, both x and y coordinates are negative. The region is X’OY’.

Quadrant IV: In the fourth quadrant, the x coordinate is positive and the y coordinate is negative. the region is XOY’.

Example Coordinates of Each Quadrant

• Point P (8, 5) lies in the first quadrant.
• Point Q (-8 5) lies in the second quadrant.
• Point R (-8, -5) lies in the third quadrant.
• Point S(8, -5) lies in the fourth quadrant.

The below-listed points does not lie in any of the quadrants. They lie on the x-axis, y-axis.

A (0, 5), B (-5, 0), C (0, -5), D (5 0), etc of this type.

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The ordered pair is nothing but a point on the coordinate graph. It is used to determine the position of a point in the cartesian plane. The more useful details regarding the ordered pair are provided below. Get an idea regarding the Ordered Pair Definition, Its Applications, and Solved Examples in the forthcoming modules.

Ordered Pair Definition

An ordered pair is the combination of coordinates which are x coordinate (abscissa) and y coordinate (ordinate). Those coordinates are real values enclosed by parenthesis and separated by a comma. The ordered pair is helpful to locate a point on the two-dimensional coordinate graph for better visual comprehension. The values in it can be integers or fractions.

Ordered Pair of a Coordinate System

Two numbers written in a certain order with parenthesis is also called an ordered pair. The usual representation of an ordered pair is (x, y). Where x is the horizontal value and y is the vertical value, and x, y are called the coordinates. The ordered pair (x, y) is never equal to the ordered pair (y, x). Whenever we write the coordinates of a point, first we write the x coordinate and then y coordinate value. As the ordered pair suggests the order in which values are written in a pair is very important.

Let us take a point P (2, 5)

The first number in the ordered pair shows the distance from the x-axis which is 2

The second number in the ordered pair shows the distance from the y-axis which is 5

To plot that point on the coordinate graph, count 2 steps towards the x-axis (towards the right) and start counting from the origin. And then 5 steps on the y-axis (upwards direction).

Applications:

• This concept is useful in data comprehension and statistics.
• The coordinate geometry uses ordered pairs to represent the geometric figures in an open space for virtual comprehension.
• Geometric shapes can be circles, triangles, squares, rectangle,s, and polygons use the ordered pairs to represent the center, vertices, and the length of the sides with coordinates.

Solved Example Questions

Example 1.

What are the coordinates of an ordered pair A (9, -7)?

Solution:

Given ordered pair is A (9, -7)

Its coordinates are x coordinate is 9 and the y coordinate is -7.

As the x coordinate is positive and the y coordinate is negative, the point belongs to the fourth quadrant.

Example 2.

Find out the abscissa and ordinates of a point P (-9, 7)?

Solution:

Given point is P (-9, 7)

The abscissa of the point is -9.

The ordinate of the point is 7.

As the point abscissa is a negative integer and ordinate is a positive integer the point lies in the third quadrant.

Example 3.

Is ordered pair A (5, 8) and B (8, 5) are equal?

Solution:

Given that,

A (5, 8) and B (8, 5)

The real numbers in both ordered pairs are the same. But both A and B are not equal.

Why because the first ordered pair A is having 5 as the x coordinate, 8 as the y coordinate, and the second ordered pair B (8, 5) is having 8 as the x coordinate and 5 as the y coordinate. So A ≠ B.

∴ Given ordered pairs, A and B are not equal.

FAQs on Ordered Pair of a Coordinate System

1. What is an example of an ordered pair?

Few examples of an ordered pair are (8, 6), (-8, 6), (8, -6), (-8, -6). All these ordered pairs are not equal. Because they belong to different quadrants.

2. What comes first in an ordered pair?

For every ordered pair, the x coordinate comes first followed by the y coordinate. It is important to write both coordinates in ordered pairs.

3. What is the order of an ordered pair?

An ordered pair is a pair of numbers present in a specific order and contains two numbers. The order in which you write those numbers is very important. Those numbers are called coordinates of a point. The x coordinate is the first number and y coordinate is the second number. The ordered pair is useful to locate a point in the coordinate plane.

The post Ordered Pair of a Coordinate System| How to Find Ordered Pairs? appeared first on Learn CBSE.

Ordered pairs are used to locate a point on a cartesian plane. It has parenthesis, a comma, and two real numbers. The first real number is called the x coordinate or abscissa, and the second one is known as the y coordinate or ordinate. Those numbers can be either positive or negative. Depending on the sign of the coordinates, you can say that point belongs to which quadrant.

On this page, we are providing useful information like how do you define an ordered pair, steps of plotting ordered pairs on a coordinate plane, the detailed procedure to identify the quadrant of ordered pairs.

Ordered Pair Definition

The ordered pair is nothing but a point in the two-dimensional coordinate plane. It is used to locate a point on the graph. Every ordered pair has two coordinates namely abscissa and ordinate.

How do you plot an ordered pair of points on a Cartesian plane?

The following are simple and easy steps to locate a point in a cartesian plane. Check out the guidelines, terms, and conditions to plot ordered pairs.

• Let us take one ordered pair.
• Get the sign of x coordinate, y coordinate of the ordered pair.
• Based on those signs, identify which quadrant the ordered pair belongs to.
• Count x coordinate value on the x-axis starting from the origin.
• Similarly, count the y coordinate value on the y-axis from the origin.
• Mark the obtained point as the ordered pair.

Solved Example Questions

Example 1.

Plot P (4, 1) on the graph?

Solution:

Given point P (4, 1)

The x coordinate of the point is positive, 4. While the y coordinate is also positive, 1.

So, both the coordinates are positive, the point P belongs to the first quadrant.

To locate this point P, measure 4 units on the x-axis from the origin (towards the right). And count 1 unit on the y-axis from the origin (towards up). Draw a line from 4 and 1, the point those lines meet is called the ordered pair P(4, 1).

Example 2.

Plot the following ordered pairs in one coordinate plane.

a. A (5, 0) b. B (-2, -6) c. C (6, -3) d. D (7, -1)

Solution:

Given ordered pairs are A (5, 0), B (-2, -6), C (6, -3), D (-7, 1)

The abscissa for A is 5, the ordinate is 0, both are positive. Therefore this ordered pair lies in the first quadrant. Take 5 units on the x-axis (towards the right) and 0 units on the y-axis and mark the point with strict or any other symbol.

The x coordinate is -2, the y coordinate is -6, both are negative. So, point B lies in the third quadrant. Measure 2 units from the origin on the x-axis (towards left), 6 units on the y-axis (downwards). Mark that particular point as B (-2, -6).

For the ordered pair C (6, -3), the x coordinate is positive and the y coordinate is negative. Then, the point lies in the fourth quadrant. To represent the ordered pair on the coordinate graph, you need to draw horizontal lines naming XOX’, YOY”. Count 6 units on the x-axis towards the right from the origin and count 3 units on the y-axis towards from the origin. Plot that point on the graph as C.

The abscissa for point D is -7 and negative and ordinate is positive and 1. You can say that the point lies in the second quadrant. At first, draw one horizontal line (x-axis), vertical line (y-axis) meet at origin O. Write down the numbers as a coordinate graph. Now, measure 7 units on the axis towards the left from the origin, 1 unit on the y-axis towards up.

Example 3.

Plot the below given three points on the graph?

a. P (5, 4) b. Q (0, 3) c. R (-2, 0)

Solution:

Given ordered pairs are P (5, 4), Q (0, 3), R (-2, 0)

First point P (5, 4) is 5 units away from the origin on the x-axis, 4 units on the y-axis. As coordinates of the point are positive, it lies in the first quadrant.

As the second point has the x coordinate is zero, the point available on the y-axis and 3 units away from the origin. It also lies in quadrant 1.

In the same way, the third point also contains the y coordinate is zero, it is present on the x-axis. And its x coordinate is negative, so it lies in the third quadrant.

The post Plot Ordered Pairs | How to Plot an Ordered Pair on a Coordinate Plane? appeared first on Learn CBSE.

A set of values that shows the exact position of a point in a two-dimensional coordinate plane are called the coordinates. These represent the exact location of a point on a coordinate graph having both x, y axes. You can check the definition of coordinates, step by step detailed procedure to find the coordinates of a point with solved examples.

Coordinates Definition

A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines called the coordinates. Usually represented by (x, y) the x value and y value of the point on a graph. Every point or an ordered pair contains two coordinates. The first one is the x coordinate or abscissa and the second is the y coordinate or ordinate. The values of the coordinates of a point can be any positive or negative real number.

The other types of coordinates are map coordinates (north/south, east/west), three-dimensional coordinates, polar coordinates (distance, angle), etc. Detailed information about x coordinate, y coordinate of a point follows:

x‐coordinate (Abscissa): The first number or the number which is located to the left side of a comma in the point is the x coordinate of the ordered pair. It represents the amount of movement along the x-axis from the origin. The movement is to the right side if the number is positive and to the left side of the origin if the number is negative.

y‐coordinate (Ordinate): The number which is located to the right side of the comma in the ordered pair or the second number is known as the y coordinate of the ordered pair. This ordinate indicates the amount of movement along the y-axis. If the number is positive, then the movement is above the origin and the movement is below the origin if the number is negative.

Point on x-axis: A point on the x-axis means its movement along the horizontal line is always zero and the y-coordinate of all points on the x-axis is zero. Therefore, the coordinates of a point on the x-axis are of the form (x, 0).

Point on y-axis: A point on the y-axis means the distance from the y-axis is zero and the x coordinate of every point on the y-axis is zero. Hence, the coordinates of a point on the y-axis are (0, y).

How to Find Coordinates of a Point?

Below given are the steps that are helpful to find the coordinates of a point. Go through them.

• Go to the coordinate graph having lines X’OX, Y’OY.
• Check out which quadrant of the graph has an ordered pair or a point.
• To get the abscissa, measure the distance of the point from the x-axis.
• Likewise, measure the distance of the point from the y-axis to obtain the ordinate value.

Solved Example Questions

Example 1.

In the adjoining figure, XOX’ and YOY’ are the co-ordinate axes. Find out the coordinates of point C?

Solution:

To locate the position of point C draw straight and perpendicular lines from point C to the x-axis OX, y-axis OY’.

Measure the distance between the newly obtained point on the x-axis, origin, new point on the y-axis, and origin.

The value of that point on the x-axis is 2. And the value of the point on the y-axis is -7.

So, the x coordinate is 2, y coordinate is -7.

As the abscissa is positive and ordinate is negative, the point lies in the fourth quadrant.

∴ The ordered pair is C (2, -7)

Example 2.

Find the coordinates of three marked in the following figure?

Solution:

To locate the position of point P:

The ordered pair P is located in the first quadrant where both coordinates are positive.

The perpendicular distance of P from the x-axis is 5 units and the y-axis is 4 units.

So, the abscissa is 5, ordinate is 4

Therefore, the coordinates of P are (5, 4).

To locate the position of point Q:

The ordered pair Q is also located in quadrant 1.

The perpendicular of the point Q from the x-axis is 0.

So, the x coordinate is 0 and the point lies on the y-axis.

the distance of Q from the origin on the y-axis is 3 units.

So, y coordinate is 3.

The coordinates of point Q (0, 3)

To locate the position of point R:

The point R is located on the x-axis means its y coordinate is 0.

The distance of the point Q from the origin is -2 units.

So the x coordinate is -2.

The Coordinates of point R (0, -2).

Frequently Asked Questions on Coordinates of a Point

1. How many coordinates are there in a point?

For every point on a two-dimensional plane, we have two coordinates. One is x coordinate or abscissa and the second is y coordinate or ordinate.

2. What is meant by coordinates?

In a cartesian plane, the values of a point are called coordinates.

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In Maths, a Percentage is a Number or Ratio Expressed as a Fraction Over 100. In other words, percent means parts per hundred and is given by the symbol %. If we need to calculate the percent of a number you just need to divide the number by whole and multiply with 100. Percentages can be represented in any of the forms like decimal, fraction, etc.

You can get entire information regarding Percentage like Definition, Formula to Calculate Percentage, Conversions from Percentage to another form, and vice versa in the coming modules. Learn the Percentage Difference, Increase or Decrease Concepts too that you might need during your academics or in your day to day calculations.

List of Percentage Concepts

Access the concepts that you want to learn regarding the Percentage through the quick links available. Simply tap on the concept you wish to prepare and get the concerned information explained step by step. Clarify all your queries and be perfect in the corresponding topics.

• Fraction to Percentage
• Percentage to Fraction
• Percentage to Ratio
• Ratio to Percentage
• Percentage to Decimal
• Decimal to Percentage
• Percentage of the given Quantity
• How much Percentage One Quantity is of Another?
• Percentage of a Number
• Increase Percentage
• Decrease Percentage
• Basic Problems on Percentage
• Solved Examples on Percentage
• Problems on Percentage
• Real Life Problems on Percentage
• Word Problems on Percentage
• Application of Percentage

Percentage Formula

To make your calculations quite simple we have provided the Percentage Formula here. Make use of it during your calculations and arrive at the solution easily.

Formula to Calculate Percentage is given by = (Value/Total Value) *100

How to Calculate Percentage of a Number?

To find the Percent of a Number check the following procedure

Consider the number to be X

P% of number = X

Removing the % sign we have the formula as under

P/100*Number = X

Percentage Change

% Change = ((New Value – Original Value)*100)/Original Value

There are two different types when it comes to Percent Change and they are given as under

• Percentage Increase
• Percentage Decrease

Percentage Increase

If the new value is greater than the original value that shows the percentage change in the value is increased from the original number. Percentage Increase is nothing but the subtraction of the original number from the new number divided by the original number.

% increase = (Increase in Value/Original Value) x 100

% increase = [(New Number – Original Number)/Original Number] x 100

Percentage Decrease

When the new value is less than the original value, that indicates the percentage change in the value shows the percent decrease in the original number. Percentage Decrease is nothing but the subtraction of new number from the original number.

% Decrease = (Decrease in Value/Original Value) x 100

% Decrease = [( Original Number – New Number)/Original Number] x 100

Percentage Difference

If you need to find the Percentage Difference if two values are known then the formula to calculate Percentage Difference is given by

Percentage Difference = {|N1 – N2|/(N1+N2/2)}*100

Conversion of Fraction to Percentage

To convert fraction to percentage follow the below-listed guidelines.

• Divide the numerator with the denominator.
• Multiply the result with 100.
• Simply place the % symbol after the result and that is the required percentage value.

Conversion of Decimal to Percentage

Follow the easy steps provided to change between Decimal to Percentage. They are as such

• Obtain the decimal number.
• Simply multiply the decimal value with 100 to get the percentage value.

Solved Examples on Percentage

1. What is 50% of 30?

Solution:

Given 50% of 30

= (50/100)*30

= 1500/100

= 15

Therefore, 50% of 30 is 15.

2. Find 20% of 40?

Solution:

Given 20% of 40

= (20/100)*40

= (20*40)/100

= 800/100

= 8

3. What is 15% of 60 equal to?

Solution:

= (15/100)*60

= (15*60)/100

= 900/100

= 9

4. There are 120 people present in an examination hall. The number of men is 50 and the number of women is 70 in the examination hall. Calculate the percentage of women present in the examination hall?

Solution:

Number of Women = 70

Percentage of Women = (70/100)*120

= (70*120)/100

= 8400/100

= 84%

The Percentage of Women in the Examination Hall is 84%.

5. What is the percentage change in the rent of the house if in the month of January it was Rs. 20,000 and in the month of March, it is Rs. 15,000?

Solution:

We can clearly say that there is a decrease in the rent

Decreased Value  = 20,000 – 15, 000

= 5, 000

Percent Change = (Decreased Value/Original Value)*100

= (5000/20,000)*100

= (1/4)*100

= 25%

Hence, there is a 25% decrease in the rent.

FAQs on Percentage

1. What is meant by Percentage?

A percentage is a Number or Ratio Expressed as a Fraction Over 100.

2. What is the Formula for Percentage?

The formula for Percentage is (Value/Total Value) *100

3. What is the Symbol of Percentage?

The percentage is denoted by the symbol %.

4. What is 10% of 45?

10% of 45 is given by 10/100*45 i.e. 4.5

The post Percentage (How to Calculate, Formula and Tricks) appeared first on Learn CBSE.

Wanna Express One Quantity as a Percentage of Another then continue reading as you will learn completely about it. Check the detailed procedure for determining how much percentage one quantity is of another. To help you understand the concept better we have provided solved example questions. Refer to them and learn the method used easily.

Expressing One Quantity as a Percentage of Another

Follow the below mentioned steps to know how much percentage one quantity is of another. They are as under

• Take the numerator as the Quantity to be Compared.
• Consider the Quantity with which it is to be Compared as the denominator.
• Express the Quantities in Fraction Form and then multiply with 100.

While Expressing One Quantity as a Percentage of Another the two quantities must be of the same kind and should have the same units.

Let suppose we need to express m as a percentage of n then the formula is

Percentage = m/n*100 where m, n should have the same units.

Example Questions on What Percentage is One Number of the Another

1. Ram Scored 40 out of 60 in the exam. Calculate the Percentage of Marks gained by him?

Solution:

From the given data numerator is the Quantity to be Compared i.e. 40

The denominator is the quantity with which it is to be compared = 60

Express it as a fraction and multiply with 100 i.e. 40/60*100

= 66.66%

2. Express 1 Hour 20 Minutes as a Percentage of 2 Hour 40 Minutes?

Solution:

1 Hour 20 Minutes = 80 Minutes

2 Hour 40 Minutes = 160 Minutes

= 80/160*100

= 50%

3. Find the Number if 15% of it is 75?

Solution:

Let the number be m

15% of m = 75

15/100*m = 75

m = (75*100)/15

= 500

Therefore 15% of 500 is 75.

Word Problems for finding how much percentage one quantity is of another

1. What Percent of $12 is 60 Cents?

Solution:

We know 1 $ = 100 Cents

$12 = 1200 Cents

Percentage = (60/1200)*100

= 5%

Therefore, 60 cents is 5% of 12$.

2. What Percent of 45 Kg is 3 Kg?

Solution:

Required Percent = 3/45*100

= 100/15

= 6.66%

3. 250 is what percent of 3000?

Solution:

m% of 3000 = 250

m/100*3000 = 250

m = (250*100)/3000

= 8.33%

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A coordinate graph is a two-dimensional plane having two perpendicular lines intersect at the midpoint called the origin. It is also called the cartesian plane or coordinate plane. You can represent ordered points in the coordinate graph. It is needed for the students who are studying the class 8 coordinate geometry concept. So, students are advised to go through this entire article to get clarity on what is meant by the coordinate graph, why it is used, solved examples, and how to represent an ordered pair in the coordinate graph.

Coordinate Graph Definition

A coordinate graph has two lines that are perpendicular to each other. Those lines are called axes. The horizontal line is known as the x-axis, and the vertical line is known as the y-axis. Those two axes meet at zero. The point o intersection of axes is called the origin. This coordinate graph is also called the coordinate plane or cartesian plane or cartesian coordinate system.

What is meant by Coordinates Axes, Quadrants?

On a coordinate graph two perpendicular straight lines having names X’OX, Y’OY are called the coordinate axes. The line having the name X’OX is called the x-axis, the other line having the name Y’OY is called the y-axis, and the point O is called the origin. Each graph paper has both coordinate axes (x-axis, y-axis) is known as the cartesian plane.

This image shows how exactly the coordinate graph looks like. Every coordinate graph has 4 quadrants namely quadrant 1, quadrant 2, quadrant 3, and quadrant 4. Some important points about the quadrants are mentioned here:

• The first quadrant, is a quadrant having both x and y coordinates positive. The plane having xoy is called quadrant 1.
• The second quadrant is available to the left side of the first quadrant, it has abscissa as negative and ordinate as positive. The plane enclosed by yox’ is quadrant 2.
• The third quadrant is available below the second quadrant and here both abscissa, ordinates are negative. The plane enclosed by x’oy’ is called quadrant 3.
• The last quadrant or fourth quadrant is available right-hand side to the third quadrant and below the first quadrant. So, the x coordinate value is positive and the y coordinate value is negative.

Steps to Plot Ordered Pairs on a Coordinate Graph

The ordered pair is a point in the coordinate plane having both x-coordinate and y-coordinate values. It has two real numbers enclosed by braces ‘(‘, ‘)’ and separated by a comma. The first value in the ordered pair is called the abscissa or x coordinate and the second value is called the y coordinate or ordinate. The format of an ordered pair is (x_coordinate_value, y_coordinate_value). In the following sections, we are giving the simple steps and instructions to mark ordered pairs on a coordinate graph effortlessly. Have a look at them and follow them whenever necessary.

• Let us take any ordered pair having 2 real numbers as abscissa and ordinate.
• Check out the signs of those real numbers to determine under which quadrant the given point lies.
• Then take the mentioned number of units on the x-axis and y-axis.
• Highlight that point and write the ordered pair there.
• Similarly, you can plot several ordered pairs.
• And join those ordered pairs to get a shape.

Example Questions

Question 1.

Plot point A (0, 2) on the graph?

Solution:

Given ordered pair is A (0, 2)

The coordinates of the point are positive. So, the point lies in the first quadrant.

As the x coordinate value is zero, the point lies on the y-axis.

As the y coordinate is 2, the point is 2 units away from the y-axis.

Question 2.

Plot point B (-5, 5) on the graph?

Solution:

Given ordered pair is B (-5, 5)

The x coordinate of B is negative and the y coordinate is positive.

According to the coordinate graph rules, the point belongs to the second quadrant.

Take -5 units on the x-axis and 5 units on the y-axis to get point B.

Question 3.

Plot point C (2, -7) on the graph?

Solution:

Given ordered pair is C (2, -7)

As the abscissa of the point is positive and the ordinate is negative, the ordered pair lies in the fourth quadrant.

Measure 2 units on the x-axis and move to the ordinate part. Measure -7 units on the y-axis. Mark that point as the ordered pair C (2, -7).

Frequently Asked Questions on Coordinate Plane

1. What are the 4 parts of a coordinate plane?

The major four different parts of a coordinate plane are the first quadrant, second quadrant, third quadrant, and fourth quadrant. These quadrants are obtained by drawing two straight and perpendicular lines on the coordinate graph. These points meet one other at the origin. All these quadrants are adjacent and the 1st, 2nd is above the 3rd and 4th quadrants. Based on the sign of coordinates of a point, we can say the point stays on which quadrant.

2. What is a coordinate plane example?

We have so many real-time examples of a cartesian plane. One of them is when you are planning to arrange furniture in a room divide the room into four parts and place the object at a place and know the area occupied by that particular object in the room. Later, decide based on your wishes and requirements.

3. What are the coordinates on a graph?

An ordered pair (a, b) gives the position of a point on a coordinate plane where a is the number on the x-axis and b is the number on the y-axis. The values of a, b in the ordered pair are called the coordinates on a graph.

The post Coordinate Graph Definition | Plot Ordered Pair on Coordinate Graph appeared first on Learn CBSE.

A plane is any flat surface that can go on infinitely in both directions. Coordinate geometry or analytical geometry is the link between algebra and geometry through graphs having curves and lines. It provides geometric aspects in algebra and enables them to solve geometric problems. Get the detailed information about the coordinate graph, all four quadrants, coordinates of points, others in the following sections.

Coordinate Geometry Definition

Coordinate geometry is one of the branches of geometry where the position of a point is defined using coordinates. Using the coordinate geometry, you can calculate the distance between two points, find coordinates of a point, plot ordered pairs, and others. The basic terms of coordinate geometry for class 8 students are listed below.

• Coordinate Geometry Definition
• Coordinates of a Coordinate Geometry
• Coordinate Plane
• Quadrants

What is meant by Coordinate and Coordinate Plane?

A coordinate plane is a two-dimensional plane created by the intersection of two axes names horizontal axis (x-axis) and the vertical axis (y-axis). These lines are perpendicular to each other and meet at the point called origin or zero. the axes divide the coordinate plane into four equal sections, and each section is known as the quadrant. The number line which is having quadrants is also known as the cartesian plane.

A set of values that represents the exact position on the coordinate plane is called coordinates. Usually, it is a pair of numbers on the graph denoted as (x, y). Here, x is called the x coordinate, y is called the y coordinate.

Quadrants: Four different quadrants and their respective signs are given below:

• Quadrant 1: In this quadrant both x and y are positive. The point is represented as (+x, +y).
• Quadrant 2: X-axis is negative and the y-axis is positive. So, the point is shown as (-x, +y).
• Quadrant 3: Here, both x and y axes are negative. The point in Q3 is represented as (-x, -y).
• Quadrant 4: In this quadrant, x is positive, and y is negative. Coordinates are (+x, -y).

How to Plot Coordinates of a Point on Graph?

Following are the simple steps to plot coordinates of a point on a graph. Have a look at them and check out how to plot a graph, represent ordered points, and identify signs of axes of a point.

• First of all, take a point which is having both x coordinate ad y coordinate.
• And know the signs of each value in the given point.
• Using those signs, identify under which quadrant the point falls.
• From the respective axes, take those numbers and put a dot on the graph.

Linear Equation

The general form of a line in the coordinate geometry is Ax + By + C = 0

Where A is the coefficient of x

B is the coefficient of y

And C is the constant value.

Intercept form of a line is y = mx + c. Where (x, y) is a point on the line and m is the slope.

Graph of Area vs. Side of a Square

To plot a graph of the square area and square side, you need to have the square area for each side length. Measure the square side length each time, find the area by performing the square of side length. Note down those values and take side length on the x-axis, area on the y-axis. As the square side is always positive, the points will automatically come in the first quadrant. Mark points such as side length as x-coordinate and area as y-coordinate for each point in the graph. Join those points to make a graph of area vs square side length.

Graph of Distance vs. Time

Drawing the graph for area vs side of a square and distance vs time is the same. Here, we are checking the distance traveled by an object in a certain amount of time, what happens when a change happens in either time or distance. Make sure that, the unit of both time and distance must be the same, if not convert them into the same unit. Take distance on the y-axis and time on the x-axis, so the x coordinate will the time, and the y coordinate will be the distance. Mark those points in the first quadrant and join them to draw a graph of distance vs time.

Example Questions

Example 1.

Plot that the points A (0, 0), B (1, 1), C (2, 2), D (3, 3) and show that these points form a line?

Solution:

Given Points are A (0, 0), B (1, 1), C (2, 2), D (3, 3)

Point A (0, 0) is the origin.

From the graph, we can say that the points form a straight line and that line passes through the origin.

Example 2.

Plot each of the following points on a graph?

a. (5, 2) b. (8, 0) c. (-5, -2) d. (9, -1)

Solution:

Given points are (5, 2), (8, 0), (-5, -2), (9, -1)

Coordinates of the point (5, 2) both abscissa and ordinate are positive so the point lies in the first quadrant. On the x-axis, take 5 units to the right of the y-axis and then on the y-axis, take 2 units above the x-axis. Therefore, we get the point (5, 2).

Coordinates of the point (8, 0) both abscissa and ordinate are positive so the point lies in the first quadrant. On the x-axis take 8 units and take 0 units on the y-axis to get the point (8, 0).

For the point (-5, -2), both abscissa and ordinate are negative so the point lies in the third quadrant. Take -5 units on the x-axis and take -2 units on the y-axis to obtain the point (-5, -2).

The point (9, -1) lies in the fourth quadrant because x-coordinate is positive and y-coordinate is negative. To plot this point, take 9 units on the x-axis and take -1 units on the y-axis.

Example 3.

Draw the graph of the linear equation y = x + 1?

Solution:

Given linear equation is y = x + 1

The given equation is in the form of y = mx + c

slope m = 1, and constant c = 1

By using the trial and error method, find the value of y for each value of x.

If x = 0, y = 0 + 1, then y = 1

If x = 1, then y = 1 + 1 = 2

If x = 2, then y = 2 + 1 = 3

Plot the graph for the points mentioned in the above table.

Mark the points (0, 1), (1, 2), (2, 3) on the graph.

Join those points to get a line equation.

FAQs on Coordinate Geometry

1. Why do we need coordinate geometry?

Coordinate geometry has various applications in real life. Some places where we use coordinate geometry is in integration, in digital devices such as mobiles, computes, in aviation to determine the position and location of airplane accurately in GPS, and to map the geographical locations using longitudes and latitudes.

2. Who is the father of Coordinate Geometry?

The father of coordinate geometry is Rene Descartes.

3. What is the name of horizontal and vertical lines that are drawn to find out the position of any point in the Cartesian plane?

The name of horizontal and vertical lines that are drawn to find out the position of any point in the Cartesian plane is determined by the x-axis and y-axis respectively.

4. What is Abscissa and Ordinates in Coordinate Geometry?

Abscissa and Ordinates are used to identify the position of a point on the graph. The horizontal value or x-axis is called the abscissa and the vertical line or the y-axis is called the ordinate. For example, in an ordered pair (1, 8), 2 is abscissa and 8 is ordinate.

The post Fundamentals of Coordinate Geometry | Concepts, Coordinate Graph, Quadrants appeared first on Learn CBSE.

If you are eager to know what is meant by Percentage and how to calculate the Percentage of a Number this is the right place. Learn how to find the Percentage of a Number in the later sections. Refer to the Solved Examples explained along with step-by-step solutions for a better idea of the concept.

How to find the Percentage of a Number?

Follow the simple and easy guidelines listed below for finding the Percentage of a Number. They are as such

Step 1: Obtain the given number.

Step 2: Multiply the number with the required percentage.

Consider the number to be n and the percentage be m. Then the percentage of a number is m% of n i.e. m/n*100

Solved Examples for finding the Percentage of a Number

1. Find 10% of $1500?

Solution:

= 10/100*1500

= $150

Therefore, 10% of $1500 is $150.

2. Find 12/2%  of 120?

Solution:

Given 12/2% of 120

= (12/2)/100*120

= 6/100*120

= 720/100

= 7.2

Therefore, 12/2% of 120 is 7.2

3. Find the Number if 25% of it is 200Km?

Solution:

Let the number be m

25%*m = 200 km

25/100*m = 200

m = (200*100)/25

= 800

4. Find the 13% of 169?

Solution:

Given 13% of 169

= 13/100*169

= 2197/100

= 21.97

How to find New Number if a number is increased or decreased by a certain percentage?

(i) If a number increases by x %, then the new number can be obtained by the formula (1 + x/100) × given number.

(ii) If a number decreases by x %, then new number can one obtained using the formula (1 – x/100) × given number.

Solved Examples

1. What is the New Number if a Number 200 increases by 15%?

Solution:

If a Number increases by x% then the new number can be obtained using the formula (1+x/100)*given number

= (1+15/100)*200

= (115/100)*200

= 230

Therefore, the New Number is 230.

2. What is the New Number if a Number 350 decreases by 25 %?

Solution:

If a Number decreases by x% then the new number can be obtained using the formula (1-x/100)*given number

substituting the given values we have the equation as under

= (1-25/100)*350

= (75/100)*350

= 262.5

Therefore, the New Number is 262.5

The post Percentage of a Number appeared first on Learn CBSE.

Percentage Increase is the amount of increase from the original number to the final number in terms of 100 parts of the original. Have a glance at the Percentage Increase Formula, How to Solve Percentage Increase Related Problems, etc. Check out the Solved Examples on Percentage Increase and learn how to approach them. Apply the Concept for Solving Some Real-Life Problems and get the Percentage Increase easily. Get to know the concept much better by going through the further modules.

Percentage Increase Formula

The Formula to Calculate Percentage Increase is given by

Percentage Increase = ((New Value – Original Value)/Original Value)*100

To help you be clear with the concept of % increase we will provide you with some examples in the coming modules.

How to Calculate the Percentage Increase?

Go through the following guidelines on how to find the Percentage Increase. They are as such

• Firstly, find the Percentage Increase i.e. (New Value – Original Value).
• Divide the Percentage Increase with the Original Value.
• Multiply the resultant fraction over 100 and place the percentage symbol after that.

Example Questions on Increase Percentage

1. The Price of Paddy Increases from $10 to $13 Per Kg? Calculate the Percentage Increase in Price?

Solution:

Original Price of Paddy = $10

New Price of Paddy = $13

Increase in Price of Paddy = New Price – Original Price

= $13 – $10

= $3

Percentage Increase = (Increase in Price/Original Price)*100

= (3/10)*100

= 30%

Therefore, Percentage Increase in the Price of Paddy is 30%.

2. Find the Increase in Value if 200 increases by 20%?

Solution:

Increase = 20%(200)

= 20/100*200

= 40

Increase in Value = 200+40

= 240

Therefore, Increase in Value is 240.

3. Population of a Town increases from 15000 to 22000 in one year. Calculate the Percentage Increase in the Population?

Solution:

Population of the town initially = 15000

Population of town after one year = 22000

Increase in Population = 22000 – 15000

= 7000

Percentage Increase in Population = (Percentage Increase/Original Population)*100

= (7000/15000)*100

= 46.66%

Therefore, the Increase in Population Percentage from 15000 to 22000 is 46.66%

4. Consider a $1,200 investment increased in value to $1,400 dollars in a year. What is the percent increase of the investment?

Solution:

Original Investment = $1200

Investment after one year = $1400

Increase in Investment = $1400 – $1200

= $200

Percentage Increase = (Increase in Investment/ Original Investment)*100

= (200/1200)*100

= 16.66%

5. If the Price of Petrol increases from Rs. 75/- to Rs. 80/- per litre. Find the Percentage Increase in Petrol?

Solution:

Original Price of Petrol = Rs. 75/-

New Price of Petrol = Rs. 80/-

Increase in Petrol Price = Rs. 80- Rs. 75

= Rs. 5

Percentage Increase = (Increase in Petrol Price/Original Price)*100

= (5/75)*100

= 100/15

= 6.66%

Therefore, the Percentage Increase in Petrol is 6.66%

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Wondering how to calculate Percentage Decrease then this is the article for you. We have curated the Formula to Calculate Percentage Decrease, Procedure to find % Decrease manually by hand in detail. Check out the Solved Examples for a better understanding of the concept.  You can solve various questions regarding the concept and apply the concept in your day to day life.

Percentage Decrease Formula

The Formula to Calculate Percentage Decrease is given as under

Percentage Decrease = (Decreased Value/Original Value)*100

Decreased Value = Original Value – New Value

% Decrease = ((Original Value – New Value)/Original Value)*100

Have a look at the Percentage Decrease Example Questions provided below to get a grip on the concept.

How to Calculate the Percentage Decrease?

Go through the below-listed guidelines to find the Percentage Decrease. They are as such

• Firstly find the Decreased Value i.e. Original Value – New Value.
• Divide it with the Original Value.
• Multiply the fraction with 100 and place a % sign at the end.

Example Questions on Percentage Decrease

1. Price of Sugar Decreases from $9  to $7.5 per Kg? What is the Percentage Decrease in the Price of Sugar?

Solution:

Original Price of the Sugar = $9

New Price of the Sugar = $7.5

Decreased Price of Sugar = $9- $7.5

= $1.5

Percentage Decrease = (Decreased Value/Original Value)*100

= ($1.5/$9)*100

= 16.66 %

Therefore, the Percentage Decrease in the Price of Sugar is 16.66%.

2. A shopkeeper sells a pair of pens for Rs. 30 initially. He then reduced the price of the pair of pens to Rs. 24. Calculate the Percentage Decrease in the cost of pens?

Solution:

Original Cost of Pair of Pens = Rs. 30

New Cost of Pair of Pens = Rs. 24

Decreased Value = Original Cost – New Cost

= Rs. 30 – Rs. 24

= Rs. 6

Percentage Decrease = (Decreased Value/Original Value)*100

= (6/30)*100

= 20%

Therefore, Percentage Decrease in the cost of pens is 20%.

3. Find the Decreased Value if 400 decreased by 25%?

Solution:

New Value 25%(400)

= 25/100*400

= 100

Decreased Value = Original Value – New Value

= 400 – 100

= 300

4. A fruit seller used to sell bananas for Rs. 30 per dozen. Later, he reduced the cost of a dozen bananas by 15%. Find the price of a dozen bananas now?

Solution:

New Prize = 15% of 30

= 15/100*30

= 450/100

= 4.5

Decreased Value = Original Price – New Prize

= 30- 4.5

= 25.5

Fruit Seller sells bananas Rs. 25.5/- a Dozen.

5. The membership card of a club cost was reduced by 10% and costs Rs. 450 now. What was the original price of the membership card before its cost is reduced?

Solution:

New Value = 10% of 450

= 10/100*450

= 45

Membership Card of a Club Cost initially = Reduced Price + Cost of Membership Card of Club after Reducing

= 45+ 450

= 495

The original Price of a membership card of the club is Rs. 495.

The post Percentage Decrease Calculator | Calculating Percentage Change appeared first on Learn CBSE.

Learn several problems on Percentage here and get an idea of the concept in a better way. To help you understand various questions on Percentage easily we have provided detailed solutions for each and everything. Try to apply the concept of Percentage in your day to day scenarios and get the solutions immediately. Solve the Tricky Questions prevailing here regarding the Concept Percentage and improve your conceptual knowledge.

1. What is 25% of 100?

Solution:

Given 25% of 100

= 25/100*100

= 25

Therefore, 25% of 100 is 25.

2. In a class of 50 students, 82 % of the students cleared the JEE exam. How many did not clear it?

Solution:

Since 82% cleared the JEE Exam the percentage of students who didn’t clear the exam is 100% – 82%

= 18%

Total Number of Students = 50

18% of 50 is the students who didn’t clear the exam

= 18/100*50

= 900/100

= 9

Therefore, 9 students didn’t clear the JEE Exam.

3. Ram scored 30 marks out of 50 marks and his elder brother Jim scored 42 marks out of 50 marks. Who scored a better percentage?

Solution:

Percentage of Ram = 30/50*100

= 60%

Therefore, Ram Scored 60%.

Percentage of Jim = 42/50*100

= 84%

Therefore, Jim Scored 84%

Since Jim scored a higher percentage compared to his brother Ram he scored a better percentage.

4. The original price of a shirt was $30. After that, It was reduced to $15. What is the percent decrease in the price of the shirt?

Solution:

Original Price of Shirt = $30

New Price of Shirt = $15

Decreased Price = $30 – $15

= $15

Percentage Decrease = (Decreased Value/Original Price) *100

= ($15/$30)*100

= 50%

Therefore, the shirt was decreased by 50% of its price.

5. The population of a town increases 3% each year. It is 30,000 now. What was it last year?

Solution:

Consider the population of town last year as x

30, 000 = x(1+3/100)

30, 000 = x(103/100)

(30, 000*100)/103 = x

x = 29126

Population of Town Last Year is 29, 126.

6. The price of a pair of trousers was decreased from 120$ to 90$. What is the Percentage Decrease?

Solution:

Original Price = $ 120

New Price = $90

Decreased Value = $120 – $90

= $30

Percentage Decrease = (Decreased Value/Original Value)*100

= 30/120*100

= 25%

Therefore, price of pair of trousers are decreased by 25%.

7. Vinay gets 82 % marks in examinations. If there are 480 marks, find the maximum marks?

Solution:

Given 82% of 480

82/100*m = 480

m = (480*100)/82

= 585

Maximum Marks are 585

The post Basic Problems on Percentage appeared first on Learn CBSE.

Solved Examples on Percentage Provided helps you solve different types of questions based on the concept. You can learn the approach to solve the Percentage Problems and answer similar kind of questions easily. Practice Percentage Questions and Answers regularly and learn the concept behind them easily. Once you are familiar with the concept you can apply the same in real-life situations and solve the problems related.

1. A student erroneously multiplied a number by 3/5 instead of 4/5. What is the percentage error in the calculation?

Solution:

Error = 4/5- 3/5 = 1/5

Percentage Error = Error/Original Number

= (1/5)/(4/5)*100

= (1/5*5/4)*100

= 100/4

= 25%

Errror Percentage is 25%.

2. A shopkeeper bought 400 oranges and 600 bananas. He found 10% of oranges and 12% of bananas were rotten. Find the number of fruits in good condition?

Solution:

Given 400 Oranges and 600 Bananas

10% of Oranges are rotten = 10% of 400

= 10/100*400

= 40

12% of bananas are rotten = 12% of 600

= 12/100*600

= 72

Number of Oranges in Good Condition = 400 – 40

= 360

Number of Bananas in Good Condition = 600 – 72

= 528

3. Amar had $ 1200 left after spending 20 % of the money he took for shopping. How much money did he take along with him?

Solution:

Let the amount of money Amar took = x

From the given data, he spent 20% of x

x- 20% of x= $1200

x- 20/100*x = $1200

x(1-20/100) = $1200

x(80/100) = $1200

x= (1200*100)/80

= 1500

Therefore, the money Amar took for Shopping is $1500.

4. The total population of a city increased from 15, 000 to 22, 500 in a year. The percentage increase of population per year of that city is?

Solution:

The population of town initially = 15, 000

The population of town after a year = 22500

Increased Value = 22, 500 – 15,000

= 7, 500

Percentage Increase = (Increased Value/ Original Value)*100

= (7, 500/15, 000)*100

= 50%

Therefore, total population of a city increased by 50% in an year.

5. If A = u% of v, B = v% of u what can you say about the statement?

Solution:

Given

A = u% of v

= u/100*v

= uv/100

B = v% of u

= v/100*u

= vu/100

Therefore, A = B

6. Three candidates A, B, C contested in an election and got 10000, 8400, and 11750 votes respectively. What percentage of the total votes did the winning candidate get?

Solution:

Among the Candidates, C got the highest Votes

Total Votes = 10, 000+8400+11750

= 30, 150

Percentage of Total Votes gained by C = (Votes he got/Total Votes Polled) *100

= (11750/30, 150)*100

= 38.97%

Therefore, Contestant C got 38.97% of the Votes.

7. A school has increased its student count from 120 students to 220. How big is the increase in the percent of students?

Solution:

Initial Student Count = 120

New Student Count = 220

Increased Student Count = (220 -120)/120*100

= 100/120*100

=10000/120

= 83.33%

Therefore, the student count increased by 83.33%.

The post Solved Examples on Percentage appeared first on Learn CBSE.

If you ever need assistance with plotting points on a coordinate plane you have come to the right place. We have covered the step by step process involved in marking points on a coordinate graph. Have a look at the solved examples to get grip on the topic.

Step By Step Procedure to Plot Points on a Graph

Follow the below provided steps to plot a point on a coordinate graph easily.

• At first, you need to take anyone point on the coordinate plane.
• And find the Signs of Coordinates of that point.
• Decide the point is going to which quadrant.
• Measure the value of the x coordinate on the x-axis from the origin.
• Likewise, count the y coordinate value on the y-axis from the origin.
• Draw dotted lines from those axes to get the point in the plane.
• Name the dotted lines meeting point as the given point.

Example Questions on Plotting of a Point

Example 1.

Plot the point P (-5, -2) on the graph?

Solution:

Given point is P (-5, -2)

On a graph paper draw two axes X’OX and Y’OY as x-axis, y-axis.

In point P (-5, -2) we observe that both the coordinates are negative so they will lie in the third quadrant.

Count 5 units along the x-axis to the left of the origin. Draw a line BA ┴ XOX’.

And count 2 units on the y-axis downwards. Draw a line CD ┴ YOY’.

Both these lines intersect at point P.

Example 2.

Plot the point Q (8, 3) on the graph.

Solution:

Draw two perpendicular lines X’OX and Y’OY on the graph paper.

In Q (8, 3), both coordinates are positive. So it will lie in the first quadrant.

Measure 8 units along the x-axis to the right of the origin.

Count 3 units on the y-axis to the upside of the origin.

Both lines intersect at point Q.

Example 3.

Plot the following points on a graph.

(i) A (0, 6) (ii) B (7, 3) (iii) C (5, -4) (iv) D (-2, 7)

Solution:

To plot point A (0, 6)

As the abscissa of the point is 0, the point lies on the y coordinate.

Count 6 units on the y-axis above the origin to get point A.

To plot point B (7, 3)

Draw x-axis, y-axis on a graph paper.

In B (7, 3), all coordinates are positive. So the point will fall in quadrant I.

Count 7 units along the x-axis from the origin to the right side.

Count 3 units on the y-axis to the upside of the origin.

Therefore point B (7, 3) is obtained.

To plot point C (5, -4)

Draw two perpendicular lines X’OX, Y’OY on a paper.

In point C (5, -4), the first coordinate is positive and the second coordinate is negative.

Therefore, the point lies in the fourth quadrant.

Count 5 units on the x-axis towards the right from the origin.

Count 4 units on the y-axis downwards from the origin.

Mark the point as C (5, -4)

To plot point D (-2, 7)

The x coordinate of the point is negative and the y coordinate is positive. so the point lies in the second quadrant.

In a coordinate graph having x, y axes.

Count 2 units from the left of the origin along the x-axis.

Count 7 units to the upwards of the origin along the y-axis.

Mark the point as D (-2, 7).

The post Plot Points on Coordinate Graph | Examples on Plotting Points on Coordinate Plane appeared first on Learn CBSE.