CAT 2018 Slot 2 QA Question & Solution
ArithmeticEasy
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
Options
4 : 3
8 : 5
5 : 4
3 : 2
Solution
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,
$\dfrac{\text{11k + x}}{\text{14k + x}}$ = $\dfrac{47}{56}$
On solving, we get x = $\dfrac{42}{9}$k
Ratio of Bimal's new score to his original score
= $\dfrac{\text{14k + x}}{\text{14k}}$
=$\dfrac{14k +\frac{42k}{9}}{14k}$
=$\dfrac{\text{168k}}{\text{14*9k}}$
=$\dfrac{4}{3}$
Hence, option A is the correct answer.