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CAT 2018 Slot 2 — QA Question 12

RatioEasy

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

Answer & solution

  • 4 : 3

  • B

    3 : 2

  • C

    8 : 5

  • D

    5 : 4

Solution

Suppose the original scores of Amal and Bimal are 11x and 14x respectively.

Suppose ‘y’ is the increase in their marks.

Therefore the new marks of Amal and Bimal are ‘11x + y’ and ‘14x + y’ respectively.

Therefore, we have 11x+y14x+y=4756

∴ 616x + 56y = 658x + 47y

Solving for x and y, we get 14x = 3y

Therefore Bimal’s old marks = 14x = 3y and his new marks = 14x + y = 4y. Therefore the required ratio = 4:3.

Hence, option (a).

CAT 2018 Slot 2 QA Q12: The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increas — Solution | TheCATExam