The ratio of the number of boys and girls in a college is 7 : 8. If the percenta

Question

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

Options:

A . 8 : 9

B . 17 : 18

C . 21 : 22

D . Cannot be determined

Answer: Option C

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

\(\Rightarrow(\frac{120}{100}\times7x) and (\frac{110}{100}\times8x)\)

\(\Rightarrow\frac{42x}{5} and \frac{44x}{5}\)

Therefore The required ratio = \((\frac{42x}{5}:\frac{44x}{5})=21:22.\)

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