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A container contains 80 litres of milk. From this container, 8 litres of milk is taken out and replaced by water. 8 litres of this mixture is now taken out and again replaced with water. This process is repeated once more. How much milk content in the Mixture now?

A container contains 80 litres of milk. From this container, 8 litres of milk is taken out and replaced by water. 8 litres of this mixture is now taken out and again replaced with water. This process is repeated once more. How much milk content in the Mixture now? Correct Answer 58.32 litres

Given:

A container contains 80 litres of milk.

8 litres of milk is taken out and replaced by water

8 litres of this mixture is now taken out and again replaced with water

This process is repeated once more

Formula used:

Amount of milk present in the mixture = (1 – x/y)n × y

Where, n = number of repeats

x = Amount to be replaced at a time

y = Total amount of milk 

Calculation:

According to the question

Amount of milk present in the mixture = (1 – x/y)n × y

⇒ (1 – 8/80)3 × 80

⇒ (72/80)3 × 80

⇒ (9/10)3 × 80

⇒ (9/10 × 9/10 × 9/10 × 80)

⇒ (9 × 9 × 9 × 8)/100

⇒ 5,832/100

⇒ 58.32 litres

∴ The required amount of milk content in the mixture is 58.32 litres

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