**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.

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 ?

**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%.

After having gone through the stuff and examples, we hope that the students would have understood, "Percent of a number word problems worksheet"

Apart from the stuff and examples, if you want to know more about, "Percent of a number word problems worksheet", please click here.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

Widget is loading comments...