The ratio of the number of boys and girls in | vedclass

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(C) Let the number of boys be $7x$ and the number of girls be $8x$.After a $20\%$ increase in the number of boys,the new number of boys is $7x 	imes

Vedclass · Accepted Answer

$21:22$

Vedclass · Answer

(C) Let the number of boys be $7x$ and the number of girls be $8x$.After a $20\%$ increase in the number of boys,the new number of boys is $7x 	imes (1 + 0.20) = 7x 	imes 1.2 = 8.4x$.After a $10\%$ increase in the number of girls,the new number of girls is $8x 	imes (1 + 0.10) = 8x 	imes 1.1 = 8.8x$.The new ratio of boys to girls is $8.4x : 8.8x$.Multiplying both sides by $10$,we get $84 : 88$.Dividing by $4$,the simplified ratio is $21 : 22$.

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 is $20\%$ and $10\%$ respectively,what will be the new ratio?

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