GATE | GATE CS 2011 | Question 65

A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of’water and this process is repeated one more time. How much spirit is now left in the container?
(A) 7.58 litres
(B) 7.84 litres
(C) 7 litres
(D) 7.29 litres


Answer: (D)

Explanation: spirit left after first replacement = 9 litre
spirit left after second replacement = 9 * (9/10)
spirit left after third replacement = 9 * (9/10) * (9/10) = 7.29

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