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A container has 270 litres of milk in it. 90 litres of milk is taken out and is replaced by 90 litres of water. This process is repeated twice more times. What is the quantity of milk in the container after the final replacement?


1. 90 litres
2. 85 litres
3. 70 litres
4. 80 litres
5. None of these

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Best answer
Correct Answer - Option 4 : 80 litres

Given:

Initial concentration = 270 litre

Final concentration = x litre

Quantity removed in each cycle = 90 litre

The process is repeated one more times means: n = 3

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

x = 270 × (1 – 90/270)3

⇒ x = 270 × (1 – 1/3)3

⇒ x = 270 × (2/3)3

⇒ x = 270 × 8/27

⇒ x = 10 × 8

x = 80

The quantity of milk in the container after final replacement will be 80 litres

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