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?
Explanation:
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).
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