Question

In 64 litres of mixture of wine and water, the ratio of wine and water is 3 : 1. Find the quantity of water required to make the ratio of wine and water 2 : 1.

Options

• 10 `l`

• 12 `l`

• 8 `l`

• 20 `l`

Answer 1

8 `l`

Explanation:

Fraction of water in mixture = `1/4`

Fraction of water in water = 1

Fraction of water required = `1/3`

Ratio becomes `2/3 : 1/12`

= `2/3 xx 12 : 1/12 xx 12`

= 8 : 1 .....(Multiply both sides by 12, LCM of 3 and 12)

Hence for 64 litres of mixture, 8 litres of water is required.