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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?

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1. 

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?

[A]. 8 : 9
[B]. 17 : 18
[C]. 21 : 22
[D]. Cannot be determined

Answer: Option C

Explanation:

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).

1-sym-oparen-h1 120 x 7x 1-sym-cparen-h1 and 1-sym-oparen-h1 110 x 8x 1-sym-cparen-h1
100 100
42x and 44x
5 5
 The required ratio = 1-sym-oparen-h1 42x : 44x 1-sym-cparen-h1 = 21 : 22.
5 5
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