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Question

# The population of a village was 9800. In a year with the increase in population of males by 8 % and that of females by 5 % the population of the village become 10458. What was the number of males in the village before increase?

A
4200
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B
4410
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C
5600
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D
6048
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Solution

## The correct option is D 5600Suppose the number of males in the village before increases was x. Then, the number of females =(9800−x)Given, (x+8% of x)+(9800−x)+5% of (9800−x)=10458⇒1.08x+1.05×(9800−x)=10458⇒1.08x+1.05×9800−1.05x=10458⇒0.03x=10458−10290=168⇒x=168×1003=5600

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