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Q.

Which of the following are the percentages of each part of the ratio 1:2:5?


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a

10%, 20%, and 50%

b

12.5%, 20%, and 50%

c

12.5%, 25%, and 62.5%

d

10.5%, 20.5%, and 50.5% 

answer is C.

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Detailed Solution

The given ratio is 1:2:5.
Total parts are, r+s+t=1+2+5=8.  
The percentage of the first part is,
Percentage = r r+s+t ×100%    ⇒Percentage = 1 8 ×100%=12.5%  
The percentage of the second part is,
Percentage = s r+s+t ×100%   ⇒Percentage = 2 8 ×100% ⇒Percentage = 1 4 ×100%=25%   The percentage of the third part is,
Percentage = t r+s+t ×100%   ⇒Percentage = 5 8 ×100% ⇒Percentage =5×12.5%=62.5%   Thus, the percentage of first part is 12.5%, percentage of second part is 25% and percentage of third part is 62.5%.
Hence, option (3) is correct.
 
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