A can containing 25 litres of mixture of milk and water has 80 milk in it How much quantity of the m...........

Quant (SSC) Mixture and Alligation

A can containing 25 litres of mixture of milk and water has 80% milk in it. How much quantity of the mixture be drawn out and replaced with water such that the new ratio of water to milk becomes 1 : 3?

1.5625 litres

4.725 litres

9.25 litres

10 litres

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Explanation:

Milk = (80/100)*25 = 20, so water = 5 l
So water : milk = 5 : 20 = 1 : 4
Let x litres drawn out
So water left = 5 – (1/(1+4))*x = 5 – x/5
Milk left = 20 – (4/(1+4))*x = 20 – 4x/5
Now x litres of water is added too, so water becomes = 5 – x/5 + x = 5 + 4x/5
So [5 + 4x/5] / [20 – 4x/5] = 1/3
75x+12x = 100x-4x
16x = 25
x=25/16 = 1.5625

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