A mixture of 30 litres contains milk and water in the ratio 7 3 10 litres of the mixture is taken ou...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A mixture of 30 litres contains milk and water in the ratio 7 : 3. 10 litres of the mixture is taken out and replaced with pure milk and the same operation is repeated one more time. Find the final ratio of milk to water in the mixture.

12 : 7

9 : 4

13 : 2

15 : 7

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Explanation:

In 30 l of mixture, milk = 7/10 * 30 = 21l, so water = 9 l
let x = amount of water after replacement and y = amount of water before replacement, so y = 9
Now
x/y = [1 – 10/30]²
Solve, x = 4 l
Now since mixture is 30 l only after replacement also. So milk in mixture after replacement = 30 – 4 = 26 l
So final ratio = 26 : 4 = 13 : 2

Hence, option 2 is the correct answer.

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