In this Worksheet on Percent Problems, you can find various types of questions on Percentage. You can have some solved examples which help students in preparing for their examinations. The questions in the Percentage Worksheet are about the conversion of percentages, decimals, and ratios. Refer to the Step by Step Solutions provided for Percent Problems and Clear the Exam with Better Grades. Resolve all your queries taking the help of the Percentage Worksheets. Practice using the Percentage Word Problems Worksheet and get acquainted with the concept better.

1. Convert each of the following into a Percentage:

(i) 6/15

(ii) 3/25

(iii) 0.25

(iv) 2 2/5

## Solution:

(i) 6/15

The given fraction is 6/15,

to convert the given fraction into a percentage,

we will multiply the fraction by 100,

6/15 ×100,

on solving, we will get 40%.

(ii) 3/25

The given fraction is 3/25,

to convert the given fraction into a percentage,

we will multiply the fraction by 100,

3/25 ×100,

on solving, we will get 12%.

(iii) 0.25

The given decimal is 0.25,

to convert the given decimal into a percentage,

we will multiply the fraction by 100,

0.25 ×100,

on solving, we will get 25%.

(iv) 2 2/5

The given fraction is 2 2/5,

which is 12/5

to convert the given fraction into a percentage,

we will multiply the fraction by 100,

12/5 ×100,

on solving, we will get 240%.

2. Which of the following is equal to 45%?

a) 0.45

b) 0.0045

c) 9/25

d) 0.045

## Solution:

The given percent is 45%,

now we will divide the given value with 100

= 45/100

on solving, we will get the result in decimals

= 0.45.

So the option a is the correct option.

3. Solve out the number when increased by:

(i) 3.2% becomes 360

(ii) 30% becomes 7,800

(iii) 25% becomes 1,800

## Solution:

(i) 3.2% becomes 360

Here, we should find out the number,

So the number be X

as given 3.2% was increased,

So, increased number= X +(3.2% × X), on solving we will get

= 1.032X

given that the number which when increased by 2.6% becomes 360, which means

1.032X =360, on solving we will get

X = 348.83.

(ii) 30% becomes 7800

Here, we should find out the number,

So the number be X

as given 30% was increased,

So, increased number= X +(30% × X), on solving we will get

= 1.3X

given that the number which when increased by 1.3% becomes 7,800, which means

1.3X =7800, on solving we will get

X = 6,000.

(iii) 25% becomes 1800

Here, we should find out the number,

So the number be X

as given 25% was increased,

So, increased number= X +(25% × X), on solving we will get

= 1.25X

given that the number which when increased by 25% becomes 1800, which means

1.25X =1800, on solving we will get

X = 1,440.

4. Solve the following:

(i) 90 cm as a percent of 3 m.

(ii) 40 mins as a percent of 3 hours.

(iii) 2.25 mm as a percent of 0.5 cm.

## Solution:

(i) 90 cm as a percent of 3 m.

Given 90 cm of 3m,

as 1m= 100 cm, so first we will convert meters to centimeters

3m= 300 cm,

90/300 × 100 =

on solving we will get the result as

= 3%.

(ii) 40 mins as a percent of 3 hours.

Given 40 mins of 3 hours,

as 1 hour = 60 minutes, so we will convert hour to minutes,

3 hours= 180 minutes,

40/180 × 100=

on solving we will get the result as

22.22%.

(iii) 2.25 mm as a percent of 0.5 cm.

Given 2.25mm of 0.5 cm

as 1 cm= 10 mm, so we will convert cm to mm

0.5 cm = 5 mm,

2.25/5 × 100=

on solving we will get

45%.

5. Express each of the following rational numbers percentages into a ratio in the simplest form:

(i) 8/7 %

(ii) 25/6 %

## Solution:

(i) 8/18 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign

= 8/7 × 1/100

on simplifying we will get

= 2 : 175.

(ii) 25/6 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign

= 25/6 × 1/100

on simplifying we will get

= 1 : 24.

6. what will be the percent of each angle if the angles of a triangle are 4:2:4?

## Solution:

The given angles are 4:2:4, so 4+2+4= 10 parts.

To convert the given ratio to percent we will multiply by 100

The percentage for the first angle is 4/10 × 100= 40%

The percentage for the second angle is 2/10 × 100= 20%

The percentage for the third angle is 4/10 × 100= 40%.