Discussion
The ratio of the number of boys and girls in a college is 8 : 7. If the percentage increase in the number of boys and girls be 10% and 20% respectively, what will be the new ratio?
Answer: B
The new ratio is 22 : 21.
Take 8 and 7 as the original numbers. Increase the boys by 10% and the girls by 20%:
\[ \begin{aligned} 8 \times 1.1 &= 8.8 \\ 7 \times 1.2 &= 8.4 \\ 8.8 : 8.4 &= 22 : 21 \end{aligned} \]
Option A reverses the ratio. 23 : 24 and 24 : 23 come from adding the percentages to the ratio terms instead of multiplying.
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