How many litres of water should be added to a 35 litre mixture of milk and water containing milk and...........

Quant (SSC) Mixture and Alligation

How many litres of water should be added to a 35-litre mixture of milk and water containing milk and water in the ratio of 4 : 3 such that the resultant mixture has 60% water in it?

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Explanation:

The quantity of milk in the mixture
= 35 x 4/7 = 20 litres
The quantity of water in the mixture
= 35 – 20 = 15 litres
Now, let the quantity of water added to the mixture be x litres.
Then water becomes 60% of the total quantity of mixture.
∴ Required % of water in mixture
= Total quantity of water /Total quantity of mixture = 60%
15 + x /35 + x = 3/5
⇒ 75 + 5x = 105 + 3x
⇒ 2x = 30
∴ x = 15 litres.