Question

How many litres of water should be added to a 9 litre mixture of wine and water containing wine and water in the ratio of 1 ∶ 2 such that the resultant mixture has 20% wine in it?
1. 6 liters
2. 4 liters 
3. 5 liters
4. 7 liters

Answer 1

Correct Answer - Option 1 : 6 liters

Given:

Original mixture 9 litre

In 9 litres of mixture Wine : water = 1 : 2

Calculations:

Amount of wine in the 9 litre mixture = (1/3) × 9 = 3 litres

Now the mixture contains 3 litres of wine which is 20% of the total mixture.

Volume of the mixture = (100/20) × 3 = 15 litres

Amount of water added = Volume of the mixed solution – Volume of the original mixture

⇒ 15 – 9 = 6 litres

∴ 6 liters of water should be added.