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

Let the score of Amal and Bimal be 11k and 14k

Let the scores be increased by x

So, after increment, Amal's score = 11k + x and Bimal's score = 14k + x

According to the question,

\(\frac{{{\rm{11k  +  x}}}}{{{\rm{14k  +  x}}}}\) = \(\frac{{47}}{{56}}\)

On solving, we get x = \(\frac{{42}}{9}\)k

Ratio of Bimal's new score to his original score

= \(\frac{{{\rm{14k  +  x}}}}{{{\rm{14k}}}}\)

=\(\frac{{14k + \frac{{42k}}{9}}}{{14k}}\)

=\(\frac{{{\rm{168k}}}}{{{\rm{14*9k}}}}\)

=\(\frac{4}{3}\)

Hence, option A is the correct answer.

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CAT 2018 Quant Questions
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