Percent of a number word problems worksheet is much required to the students who would like to practice problems on "Percent of a number"

First let us understand what is percent of a number.

__Percent of a number__** - Explanation **

To have better understanding on percent of a number, let us consider the following example.

**" 30 percent of 500 " **

30 percent means the value 30 is considered for one hundred.

If 30 is the value considered for 100, what value can be considered for 500 ?

It can be calculated as follows.

**30 % x 500 = 0.3 x 500 = 150**

The picture given below clearly illustrates "How to find percent of a number"

Here, the "WH" question "what" has always to be replaced by some variable, say **"m"**

Sometimes, we will have the above question in a different method. It has been illustrated in the picture given below.

Here we are going to look at percent of a number word problems worksheet problems

1. What is 20% of 50 ?

2. What is 35% of 600 ?

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

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

5. What percent of 700 is 210 ?

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

7. 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" ?

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

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

10. If 20% of 30 is equal to m % of 60, find the value of "m".

**Here they are .**

**Problem 1 :**

What is 20% of 50 ?

**Solution :**

Let us replace "what" by some variable, say "m"

m = 20 % x 50

m = 0.2 x 50

m = 10

**Hence, 20 % of 50 is 10**

Let us look at the next problem on "Percent of a number word problems worksheet"

**Problem 2 :**

What is 35% of 600 ?

**Solution :**

Let us replace "what" by some variable, say "m"

m = 35 % x 600

m = 0.35 x 600

m = 210

**Hence, 35 % of 600 is 210**

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 3 :**

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 x 5000 = 1000

**Income for 3 years :**

= 3 x 1000

= 3000

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

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 4 :**

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 x 2500 = 375

**Income of 2.5 years :**

= 2.5 x 375

= 937.50

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

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 5 :**

What percent of 700 is 210 ?

**Solution :**

Let us replace "what" by some variable, say "m"

m % of 700 = 210

(m / 100) x 700 = 210

7m = 210

m = 30

**Hence, 30% of 700 is 210**

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 6 :**

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) x 500 = 75

5m = 75

m = 15

**Target :** m % of 700

m % of 700 = 15 % of 700

= 0.15 x 700

= 105

**Hence, m % of 700 is 105**

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 7 :**

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 x 7500 = (m/100) x 12500

2250 = 125m

2250 / 125 = m

18 = m

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

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 8 :**

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 % x 350

= 0.25 x 350

= 87.5

**Hence, the required profit is $87.50**

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 9 :**

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) x 125 = 6.25

m = (6.25/125) x 100

m = 5

**Hence, the profit percentage is 5 %**

**Let us look at the next problem on **"Percent of a number word problems worksheet"

**Problem 10 :**

If 20% of 30 is equal to m % of 60, find the value of "m".

**Solution :**

From the given information, we can have

20 % of 30 = m % of 60

0.2 x 30 = (m/100) x 60

6 = 3m / 5

5/3 x 6 = m

10 = m

**Hence, the value of "m" is 10**

**More Quantitative Aptitude Topics**

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**24. Problems on Quadratic Equations**

**25. Word Problems on Quadratic equations**

**26. Pipes and Cisterns Shortcuts**

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