A mixture contains milk and water in the ratio of 5 ∶ 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 ∶ 2. Find the quantity of milk in the mixture.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)

Answer 1

Given:

Initial ratio = 5 : 3

Final ratio after adding 7 litres of water = 1 : 2

Calculations:

Let the quantities of milk and water in the mixture be 5x and 3x respectively.

On adding 7 litres if water, we get:

5x /(3x + 7) = 1/2

⇒10x = 3x + 7

⇒x = 1

So, The milk in the mixture is 5x = 5(1) litres

Hence, The Required value is 5 litres.

Shortcut Trick

Before mixing, Milk : Water = 5 : 3 & after water added, Milk : Water = 1 : 2

There is no change in Milk, we make milk unit same in both the ratio,

So, 7 unit → 7 litre then 5 unit → 5 litres