Ratio of milk and water in a mixture of 48 litres is 3 : 1. 10 litres of the mixture is taken out from the mixture and then 20 litres of water is added to it. Find the final difference between milk and water.

Given:

Ratio of Milk and water in 48 litres of mixture = 3 : 1

Quantity to be taken out from mixture = 10 litres

Water added in mixture = 20 litres

Concept used:

Ratio of milk and water taken out from the mixture will be in the same ratio as present in the mixture

Calculation:

Let the quantity of milk and water be 3x and x respectively

So, Quantity of milk = (3x/4x) × 48 litres

⇒ 36 litres

Quantity of water in mixture = (48 – 36) litres

⇒ 12 litres

Quantity of milk taken out from mixture = 10 × (3/4) = 7.5 litres

Quantity of water taken out in the mixture = 10 × (1/4) = 2.5 litres

New quantity of milk in the mixture = 36 - 7.5 = 28.5 litres

New quantity of water in the mixture = (12 – 2.5) = 9.5 litres

New ratio = 28.5 : 9.5 + 20

⇒ 28.5 : 29.5

Final difference between milk and water = 29.5 - 28.5 = 1

∴ Final difference between milk and water is 1.