A 24 litres of milk and water mixture contains milk and water in the ratio 3 5 What litres of the mi...........

Quantitative Aptitude ( CCS) Mixture and Alligation

A 24 litres of milk and water mixture contains milk and water in the ratio 3 : 5. What litres of the mixture should be taken out and replaced with pure milk so that the final mixture contains milk and water in equal proportions?

20/3 l

3 l

32/5 l

24/5 l

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Explanation:

In 24 l of mixture, milk = 3/8 * 24 = 9 l, so water = 15 l
Now since the mixture is to be replaced with pure milk, the amount of mixture will remain same after replacement too.
In 24 l mixture, to have 12 l water and 12 l milk, 3 l of water should be taken out, since we are only adding milk.
Let x l of mixture taken out. So 5/8 * x = 3,
Solve, x = 24/5 l

Hence, option 4 is the correct answer.

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