A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. 11.5 litre
  2. 14.8 litre
  3. 13.5 litre
  4. 12.8 litre

Answer (Detailed Solution Below)

Option 4 : 12.8 litre
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Detailed Solution

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Given:

A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. 

Concept used:

Left Quantity = Initial Quantity(1 - [Fraction removed])N (Where N = Number of times the process is carried out)

Calculation:

Fraction of milk removed = 5/25 = 1/5

Now, the quantity of milk left in the container

⇒ 25(1 - 1/5)3

⇒ 25 × (4/5)3

⇒ 25 × 64/125

⇒ 12.8 litre

∴ There is 12.8 litre of milk left in the container.

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