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The question below is from previous year CAT question from CAT 2018 exam comes from Raju and Lalitha originally had marbles . Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
Q. 1: 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?
1. 1/4
2. 7/33
3. 1/5
4. 6/19
Let original number of marbles with Raju and Lalitha are 4x and 9x respectively. Let Lalitha gave n marbles to Raju and the ratio becomes 5:6
So (4x+n)/(9x-n)=5/6
24x+6n=45x-5n
21x=11n
n=21x/11
Fraction of marbles given by Lalitha to Raju = n/9x=(21x/11)/9x=7/33
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