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

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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).

120
x 7x

and

110
x 8x

100
100

42x
and
44x
5
5

The required ratio =

42x
:
44x

= 21 : 22.
5
5

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