In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

Solution:
Quantity of milk =(60 × 32​) litres =40 litres
Quantity of water in it =(60 - 40) litres =20 litres
New ratio =1 : 2
Let the quantity of water to be added further be x litres
Then milk : water = 40/(20+x)

Now,
40/(20 + x) = 1​/2
⇒ 20 + x = 80
⇒ x = 60

∴ Quantity of water to be added = 60 litres