CAT 2018 Quant Questions

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’s new score to that of his original score is

5 : 4
8 : 5
4 : 3
3 : 2
Show Answer
Correct Answer: 3
Given, ratio of the scores of Amal and Bimal is 11 : 14.
Let 11x and 14x be the scores of Amal and Bimal.
Let a be the score which is increased.
$\Rightarrow \frac{11 x+a}{14 x+a}=\frac{47}{56}$
$616 x+56 a=658 x+47 a$
$9 a=42 x$
$a=\frac{42 x}{9}$
Required ratio $=\left(14 x+\frac{42 x}{9}\right) : 14 x$
$=\left(1+\frac{1}{3}\right) : 1$
$=4 : 3$

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