ML Aggarwal: Percentage - 1

 Page 1


 
1. Express the following percentages as fractions: 
(i) 356% 
(ii) 2 



% 
(iii) 16 


 % 
Solution: 
(i) 356% 
It can be written as 
= 


 
By further simplification 
= 
	


 
= 3



 
(ii) 2 



% 
It can be written as 
= 



% 
By further calculation 
= 


 × 
 
Page 2


 
1. Express the following percentages as fractions: 
(i) 356% 
(ii) 2 



% 
(iii) 16 


 % 
Solution: 
(i) 356% 
It can be written as 
= 


 
By further simplification 
= 
	


 
= 3



 
(ii) 2 



% 
It can be written as 
= 



% 
By further calculation 
= 


 × 
 
= 


 
(iii) 16



 % 
It can be written as 
= 


 % 
By further calculation 
= 


×


 
= 


 
 
2. Express the following fractions as percentages: 
(i) 


 
(ii) 


 
(iii) 1 



 
Solution: 
(i) 



 
It can be written as 
= 



 × 100% 
= 150% 
(ii) 
	


 
It can be written as 
Page 3


 
1. Express the following percentages as fractions: 
(i) 356% 
(ii) 2 



% 
(iii) 16 


 % 
Solution: 
(i) 356% 
It can be written as 
= 


 
By further simplification 
= 
	


 
= 3



 
(ii) 2 



% 
It can be written as 
= 



% 
By further calculation 
= 


 × 
 
= 


 
(iii) 16



 % 
It can be written as 
= 


 % 
By further calculation 
= 


×


 
= 


 
 
2. Express the following fractions as percentages: 
(i) 


 
(ii) 


 
(iii) 1 



 
Solution: 
(i) 



 
It can be written as 
= 



 × 100% 
= 150% 
(ii) 
	


 
It can be written as 
= 
	


 × 100% 
= 45% 
(iii) 1 


 
It can be written as 
= 


 × 100% 
= 125% 
 
3. Express the following fractions as decimals. Then express the 
decimals as percentages: 
(i) 


 
(ii) 


 
(iii) 



 
Solution: 
(i) 


 = 0.75 
It can be written as 


=


× 100% 
By further calculation 
= 3 × 25% 
= 75% 
(ii) 


 = 0.625 
Page 4


 
1. Express the following percentages as fractions: 
(i) 356% 
(ii) 2 



% 
(iii) 16 


 % 
Solution: 
(i) 356% 
It can be written as 
= 


 
By further simplification 
= 
	


 
= 3



 
(ii) 2 



% 
It can be written as 
= 



% 
By further calculation 
= 


 × 
 
= 


 
(iii) 16



 % 
It can be written as 
= 


 % 
By further calculation 
= 


×


 
= 


 
 
2. Express the following fractions as percentages: 
(i) 


 
(ii) 


 
(iii) 1 



 
Solution: 
(i) 



 
It can be written as 
= 



 × 100% 
= 150% 
(ii) 
	


 
It can be written as 
= 
	


 × 100% 
= 45% 
(iii) 1 


 
It can be written as 
= 


 × 100% 
= 125% 
 
3. Express the following fractions as decimals. Then express the 
decimals as percentages: 
(i) 


 
(ii) 


 
(iii) 



 
Solution: 
(i) 


 = 0.75 
It can be written as 


=


× 100% 
By further calculation 
= 3 × 25% 
= 75% 
(ii) 


 = 0.625 
It can be written as 


=


 × 100% 
By further calculation 
= 



 × 25% 
= 




% 
= 62.5% 
(iii) 


 = 0.1875 
It can be written as 


=


 × 100% 
By further calculation 
= 


 × 25% 
= 


% 
= 18.75% 
 
4. Express the following fractions as decimals correct to four decimal 
places. Then express the decimals as percentages: 
(i) 


   (ii) 


   (iii) 


 
Solution: 
(i) 



 = 0.6667 
By correcting to four decimal places 
Page 5


 
1. Express the following percentages as fractions: 
(i) 356% 
(ii) 2 



% 
(iii) 16 


 % 
Solution: 
(i) 356% 
It can be written as 
= 


 
By further simplification 
= 
	


 
= 3



 
(ii) 2 



% 
It can be written as 
= 



% 
By further calculation 
= 


 × 
 
= 


 
(iii) 16



 % 
It can be written as 
= 


 % 
By further calculation 
= 


×


 
= 


 
 
2. Express the following fractions as percentages: 
(i) 


 
(ii) 


 
(iii) 1 



 
Solution: 
(i) 



 
It can be written as 
= 



 × 100% 
= 150% 
(ii) 
	


 
It can be written as 
= 
	


 × 100% 
= 45% 
(iii) 1 


 
It can be written as 
= 


 × 100% 
= 125% 
 
3. Express the following fractions as decimals. Then express the 
decimals as percentages: 
(i) 


 
(ii) 


 
(iii) 



 
Solution: 
(i) 


 = 0.75 
It can be written as 


=


× 100% 
By further calculation 
= 3 × 25% 
= 75% 
(ii) 


 = 0.625 
It can be written as 


=


 × 100% 
By further calculation 
= 



 × 25% 
= 




% 
= 62.5% 
(iii) 


 = 0.1875 
It can be written as 


=


 × 100% 
By further calculation 
= 


 × 25% 
= 


% 
= 18.75% 
 
4. Express the following fractions as decimals correct to four decimal 
places. Then express the decimals as percentages: 
(i) 


   (ii) 


   (iii) 


 
Solution: 
(i) 



 = 0.6667 
By correcting to four decimal places 



 = 0.6667 × 100% = 66.67% 
3 20 0.66666 
 18  
 20  
 18  
 20  
 18  
 20  
 18  
 20  
 18  
   2  
 
(ii) 


 = 0.8333 
By correcting to four decimal places 


 = 0.8333 × 100% = 83.33% 
6 50 0.83333 
 488  
 20  
 18  
 20  
 18  
 20  
 18  
 20  
 18  
   2