# Raju and Lalitha originally had marbles | Quantitative Aptitude - Arithmetic – Ratios

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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:

## CAT 2018 - Slot-1 - Ratios - Question-1 - Raju and Lalitha originally had marbles

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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