The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is

Question

The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal&rsquo;s new score to that of his original score is

Accepted Answer

4 : 3 — Easy Write original scores as $11x$ and $14x$, and let each increase by the same amount $y$. Set the new ratio equal to $47:56$, solve for $y$ in terms of $x$, then form Bimal's new$\,:\,$old score. 1 Set up the new-ratio equation. New scores $11x+y$ and $14x+y$. $$\begin{aligned} &\frac{11x+y}{14x+y} = \frac{47}{56} \end{aligned}$$ 2 Cross-multiply and simplify. $$\begin{aligned} &56(11x+y) = 47(14x+y)\ &\Rightarrow\ 616x+56y = 658x+47y\ &\Rightarrow\ 9y = 42x\ &\Rightarrow\ 14x = 3y \end{al

CAT 2018 Slot 2 — QA Question 12

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