PERCENT OF A NUMBER WORD PROBLEMS WORKSHEET

About "Percent of a number word problems worksheet"

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.

Percent of a number word problems worksheet - Problems

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".  

Do you need answers for the above questions ?

Here they are .

Step by step solution

Percent of a number - Practice Questions

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

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