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CAT 2018 Slot 1 — QA Question 11

RatioEasy

Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?

Answer & solution

  • A

    6/19

  • B

    1/5

  • 7/33

  • D

    1/4

Solution

Let Raju and Lalitha originally had (4x) and (9x) marbles. Later Lalitha gave (y) marbles to Raju.

Therefore, 4x+y9x-y = 56

⇒ 6(4x + y) = 5(9x - y)
⇒ 24x + 6y = 45x - 5y
⇒ 11y = 21x
​​​​​​​∴ y = 21x/11

The required fraction = y/9x = 2111x9x = 733

Hence, option (c).

CAT 2018 Slot 1 QA Q11: Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As — Solution | TheCATExam