CAT 2018 Question Paper Shift 2 Solved Paper

Question : 79 of 100

Marks: +1, -0

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
Options

4 : 3
8 : 5
3 : 2
5 : 4

Validate

Solution:

Given, ratio of the scores of Amal and Bimal is 11: 14 .
Let

11 {x}

and

14 {x}

be the scores of Amal and Bimal.
Let a be the score which is increased.

⇒ \;{11 x+a}/{14 x+a}=\;{47}/{56}

616 x+56 a=658 x+47 a

9 a=42 x

a=\;{42 x}/{9}

Required ratio

=(14 x+\;{42 x}/{9}): 14 x

=(1+\;{1}/{3}): 1

=4: 3

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