CAT 2018 Question Paper Shift 1 Solved Paper

Question : 92 of 100

Marks: +1, -0

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

$1/5$
$6/19$
$7/33$
$1/4$

Validate

Solution:

Let the number of marbles with Raju and Lalitha initially be

4 {x}

and

9 {x}

.
Let the number of marbles that Lalitha gave to Raju be y.
It has been given that

(4 x+y) /(9 x-y)=5 / 6

24 x+6 y=45 x-5 y

11 y=21 x

y / x=21 / 11

Fraction of original marbles given to Raju by Lalitha

= {y} {/} 9 {x}

(As Lalitha had

9 {x}

marbles initially).

y{ /} 9 x=21 {/} 99

=7 / 33

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