## Slot -2 – Quantitative Aptitude – Arithmetic – Ratios – The scores of Amal and Bimal in

The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is?
a) 8 : 5

b) 3 : 2

c) 4 : 3

d) 5 : 4

Solution: let their scores were 11x and 14x and it increase by n then

(11x+n)/(14x+n)=47/56

616x+56n=658x+47n

42x=9n

n = 42x/9

So Bimal’s new score = 14x + 42x/9 = 168x/9

So required ratio = (168x/9)/14x = 4∶ 3

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## Slot -1 – Quantitative Aptitude – Arithmetic – Ratios – Raju and Lalitha originally had marbles

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?

a) 6/19

b) 7/33

c) 1/5

d) ¼

Solution:

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