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 × (2/3) litres = 40 litres.Quantity of water in it = (60 - 40) litres = 20 litres.New ratio = 1 : 2Let 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.