# PERCENT OF A NUMBER WORD PROBLEMS WORKSHEET

## About "Percent of a Number Word Problems Worksheet"

Percent of a Number Word Problems Worksheet :

Worksheet given in this section is much useful to the students who would like to practice word problems on percentage.

## Percent of a Number Word Problems Worksheet - Problems

1. What is 30% of 600 ?

2. What percent of 500 is 75 ?

3. If "m" percent of 500 is 75, what is m % of 700 ?

4. David gets 20% income on \$5000 investment per year. At the same rate, what is his income in 3 years ?

5. John gets 15% income on \$2500 investment per year. At the same rate, what is his income for 2.5 years ?

6. A gets 30% income on \$7500 investment per year. If B gets the same income on \$12500 investment per year, what is the percentage of income of "B" ?

7. A trader gets 25% profit on all the products. If the cost price of a particular product is \$ 350, find his profit.

8. A trader gets \$6.25 profit on a product whose cost price is \$125. What is profit percentage ?

## Percent of a Number Word Problems Worksheet - Solution

Problem 1 :

What is 30% of 600 ?

Solution :

Hence, 30% of 600 is 180.

Problem 2 :

What percent of 500 is 75 ?

Solution :

Hence, 15% of 500 is 75.

Problem 3 :

If "m" percent of 500 is 75, what is m % of 700 ?

Solution :

Our first aim is to get the value of "m"

Given : "m" percent of 500 is 75

(m/100)  500  =  75

5m  =  75

m =  15

Target : m% of 700

m% of 700  =  15% of 700

=  0.15  700

=  105

Hence, m% of 700 is 105

Problem 4 :

David gets 20% income on \$5000 investment per year. At the same rate, what is his income in 3 years ?

Solution :

Income for one year :

20% of 5000  =  0.2  5000  =  1000

Income for 3  years :

=  3  1000

=  3000

Hence, David's income for 3 years is \$3000.

Problem 5 :

John gets 15% income on \$2500 investment per year. At the same rate, what is his income for 2.5 years ?

Solution :

Income for one year :

15% of 2500  =  0.15  2500  =  375

Income of 2.5 years :

=  2.5  375

=  937.50

Hence, John's income for 2.5 years is \$937.50

Problem 6 :

A gets 30% income on \$7500 investment per year. If B gets the same income on \$12500 investment per year, what is the percentage of income of "B" ?

Solution :

Let "m" be the  percentage of income of B

From the given information, we have

30% of 7500  =  m% of 12500

0.3  7500  =  (m/100)  12500

2250  =  125m

2250/125  =  m

18  =  m

Hence, the percentage of income of B is 18%.

Problem 7 :

A trader gets 25% profit on all the products. If the cost price of a particular product is \$ 350, find his profit.

Solution :

Given : 25% profit on all the products

So, profit on \$350  =  25%  350

=  0.25  350

=  87.5

Hence, the required profit is \$87.50

Problem 8 :

A trader gets \$6.25 profit on a product whose cost price is \$125. What is profit percentage?

Solution :

Let "m" be the required percentage.

From the given information, we can have

m% of 125  =  6.25

(m/100)  125  =  6.25

m  =  (6.25/125)  100

m  =  5

Hence, the profit percentage is 5%.

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