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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?

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? Correct Answer 7/33

Calculation:

Let number of original marbles Raju and Lalitha had be 4a and 9a respectively.

Let marbles given by Lalitha to Raju be m.

⇒ (4a + m) : (9a - m) = 5 : 6

⇒ 24a + 6m = 45a - 5m

⇒ 11m = 21a

⇒ m = 21a/11

∴ Fraction of marbles given by Lalitha = m/9a = (21a/11)/9a = 7/33

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