15 litres of the milk is drawn out of a jar and filled with water This operation is performed 1 more...........

Quantitative Aptitude ( CCS) Mixture and Alligation

15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?

60 litres

55 litres

80 litres

75 litres

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Explanation:

Let initial quantity of milk = x litres
After two times, quantity of milk left in jar = x [1 – 15/x]²
So x [1 – 15/x]² / x = 16/16+9
[1 – 15/x]² = 16/25
Square root both sides, so [1 – 15/x] = 4/5
Solve, x = 75