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A container has 36 litres of milk in it. 12 litres of milk is taken out and is replaced by 12 litres of water. This process is repeated one more times. What is the quantity of milk in the container after the final replacement?

A container has 36 litres of milk in it. 12 litres of milk is taken out and is replaced by 12 litres of water. This process is repeated one more times. What is the quantity of milk in the container after the final replacement? Correct Answer 16 litres

Given:

Initial concentration = 36 litres

Final concentration = x litre

Quantity removed in each cycle = 12 litres

The process is repeated one more times means: n = 2

Formula:

FC = IC × (1 – Quantity removed in each cycle/total IC)n

Here,

FC = final concentration

IC = Initial concentration

n = The Process repeated how many times

Calculation:

We know that –

FC = IC × (1 – Quantity removed in each cycle/total IC)n…….(1)

Put all the given values in equation (1) then we get

Final quantity= 36 × 2

⇒ 36 × 2

⇒ 36 × (2/3)2

⇒ 36 × (4/9)

⇒ 4 × 4

⇒ 16

∴ The Quantity of milk in the container after final replacement will be 16 litres

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