# WORKSHEET ON WORD PROBLEMS ON PERCENTAGE 1

## About "Worksheet on Word Problems on Percentage 1"

Worksheet on Word Problems on Percentage 1 :

This is the continuity of our web content given on "Word problems on Percentage Worksheet".

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## Worksheet on Worksheet on Word Problems on percentage 1 - Problems

Problem 1 :

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

Problem 2 :

There are 15 boys and 12 girls in a section A of class 7. If 3 boys are transferred to section B of class 7,then find the percentage of boys in section A.

Problem 3 :

If there are 3 boys and 7 girls in a class then, what percent of the class is made up of boys ?

Problem 4 :

Two numbers are respectively 20% and 50% are more than a third number, Find the the ratio of the two numbers.

Problem 5 :

In a triangle, the first angle is 20% more than the third angle. Second angle is 20% less than the third angle. Then find the three angles of the triangle.

## Worksheet on Worksheet on Word Problems on percentage 1 - Solution

Problem 1 :

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

Solution :

In the given two fractions, the denominators are 5 and 3.

Let assume a number which is divisible by both 5 and 3.

Least common multiple of (5, 3)  =  15.

So, let the number be 15.

15 x 3/5  =  9  ----------(1) ---------incorrect

15 x 5/3  =  25  ---------(2) --------correct

Difference between (1) and (2) is 16

Percentage error is

=  (Actual error / Correct answer) ⋅ 100 %

=  (16 / 25)  100 %

=  64 %

Hence,  the percentage error in the calculation is 64 %.

Problem 2 :

There are 15 boys and 12 girls in a section A of class 7. If 3 boys are transferred to section B of class 7,then find the percentage of boys in section A.

Solution :

Before transfer :

No. of boys in section A  =  15

No. of boys in section B  =  12

Given : 3 boys are transferred from section A to B

After transfer :

No. of boys in section A  =  12

No. of boys in section B  =  12

Hence,  percentage of boys in section A is 50%

Problem 3 :

If there are 3 boys and 7 girls in a class then, what percent of the class is made up of boys ?

Solution :

Total number of students in the class  =  3 + 7  =  10

Percentage of boys is

=  (No. of boys / Total no. of students)  100 %

=  (3/10)  100 %

=  30 %

Hence,  30 % of the class is made up of boys.

Problem 4 :

Two numbers are respectively 20% and 50% are more than a third number, Find the the ratio of the two numbers.

Solution :

Let "x" be the third number.

Then,

the first number = (100+20)% of x  =  120% of x  =  1.2x

the first number = (100+50)% of x  =  150% of x  =  1.5x

First no. : second no. = 1.2x = 1.5x

1.2x : 1.5x---------------> 12x : 15x

Dividing by (3x), we get 4 : 5

Problem 5 :

In a triangle, the first angle is 20% more than the third angle. Second angle is 20% less than the third angle. Then find the three angles of the triangle.

Solution :

Let "x" be the third angle.

Then the first angle  =  120% of x =  1.2x

The second angle  =  80% of x  =  0.8x

Sum of the three angles in any  triangle  =  180°

Then, we have   x + 1.2x + 0.8x  =  180°

3x  =  180°  --------> x  =  60°

Then the first angle  =  1.2(60°)  =  72°

The second angle  =  0.8(60°)  =  48°

Hence, the three angles of the triangle are 72°, 60° and 48°.

Apart from the problems on percentage given above, if you need more problems on percentage, please click the following links.

Percentage Worksheet

Percentage Worksheet - 2

Percentage Worksheet - 3

Percentage Worksheet - 4

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