In a country, 60% of the male citizen and 70% of the female citizen are eligible for vote. 70% of male citizens eligible vote voted, and 60% of female citizens eligible to vote voted. What fraction of the citizens voted during the election ? 

A  32/57 

B  5/22 

C  21/50 

D  27/50 

Solution

Correct Answer: Option C

Solution:     Let, male citizen = x, female = y 

                 Male voted = x \( \times \) 60/100 \( \times \) 70/100 

                Female voted = y \( \times \) 70/100 \( \times \) 60/100  

         So, fraction of citizen voted = \(\frac{{\frac{{4200}}{{10000}}x + \frac{{4200}}{{10000}}y}}{{x + y}}\) = 21/50   

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