Question

A vessel contains, 64 litres of mixture of milk and water in the ratio 7 : 3 respectively. 8 litres of mixture is replaced by 12 litres of milk. What is the ratio of milk and water in the resulting mixture?

Options

• 64 : 21

• 35 : 22

• 64 : 23

• 65 : 21

Answer 1

64 : 21 

Explanation:

In 64 litres of mixture,

Milk = `7/10 xx 64` = 44.8 litres

Water = 64 – 44.8 = 19.2 litres

In 8 litres of mixture,

Milk = `7/10 xx 8` = 5.6 litres

Water = 2.4 litres

In resulting mixture,

Milk = 44.8 – 5.6 + 12 = 51.2 litres

Water = 19.2 – 2.4 = 16.8 litres

∴ Required ratio = 51.2 : 16.8 = 64 : 21