Question

In a mixture of 45 litres, the ratio of milk and water is 3 : 2. How much water must be added to make the ratio 9 : 10?
1. 10 lt.
2. 17 lt.
3. 15 lt.
4. 12 lt.

Answer 1

Correct Answer - Option 4 : 12 lt.

Given:

Quantity of the mixture = 45 litre

The ratio of the milk and the water = 3 ∶ 2

Calculation:

The quantity of milk in the mixture = (3/5) × 45 = 27 litre

The quantity of the water in the mixture = (2/5) × 45 = 18 litre

Let the quantity of water added to make the ratio 9 ∶ 10 be x

Now, A/Q

27/(18 + x) = 9/10

⇒ 27 × 10 = 9(18 + x)

⇒ 3 × 10 = 18 + x

⇒ 30 – 18 = x

⇒ x = 12

∴ The quantity of water to be added is 12 litre