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A container is full of milk. One-third of milk is taken out of it and replaced by same quantity of water. Then again one-third of the mixture is taken out of it and replaced by the same quantity of water. The process is repeated 4 times. If 16 litres of milk is left in the container at the end of 4th operation, find the capacity of the container.
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- 76 litres
- 81 litres
- 82 litres
- 85 litres
Correct Option: B
Let capacity of the container be P liter; then
P(1 – 1/3)4 = 16
⇒ P (2 / 3)4 = 16
⇒ P(16 / 81) = 16 liters
∴ P = 81 liters