Percentage (Exercise 11.1) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download

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1. Express each of the following percents as fractions in the simplest forms: 
(i) 45% 
(ii) 0.25% 
(iii) 150% 
(iv) 6 1/4 % 
 
Solution: 
(i) Given 45% 
= (45/100) 
On simplifying the above fraction we get 
= (9/20) 
 
(ii) Given 0.25% 
= (0.25/100) 
= (25/10000) 
On simplifying the above fraction we get 
= (1/400) 
 
(iii) Given 150% 
= (150/100) 
On simplifying the above fraction we get 
= (3/2) 
 
(iv) Given 6 1/4 % 
We can write 6 1/4 as 6.25 
= (6.25/100) 
= (625/10000) 
= (1/16) 
 
2. Express each of the following fractions as a percent: 
(i) (3/4) 
(ii) (53/100) 
(iii) 1 3/5 
(iv) (7/20) 
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1. Express each of the following percents as fractions in the simplest forms: 
(i) 45% 
(ii) 0.25% 
(iii) 150% 
(iv) 6 1/4 % 
 
Solution: 
(i) Given 45% 
= (45/100) 
On simplifying the above fraction we get 
= (9/20) 
 
(ii) Given 0.25% 
= (0.25/100) 
= (25/10000) 
On simplifying the above fraction we get 
= (1/400) 
 
(iii) Given 150% 
= (150/100) 
On simplifying the above fraction we get 
= (3/2) 
 
(iv) Given 6 1/4 % 
We can write 6 1/4 as 6.25 
= (6.25/100) 
= (625/10000) 
= (1/16) 
 
2. Express each of the following fractions as a percent: 
(i) (3/4) 
(ii) (53/100) 
(iii) 1 3/5 
(iv) (7/20) 
 
 
 
 
 
 
 
 
Solution: 
(i) Given (3/4) 
= (3/4) × 100 
= 75% 
 
(ii) Given (53/100)  
= (53/100) × 100 
= 53% 
 
(iii) Given 1 3/5 
Convert the given mixed fraction into improper fraction 
1 3/5 = (8/5) 
= (8/5) × 100 
= 160% 
 
(iv) Given (7/20) 
= (7/20) × 100 
= 35%