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Question

80 litres of milk is kept in a container. From this volume, 8 litres of milk was taken out and replaced by water. This process was repeated two more times. How much milk (approximately) is now present in the container?



Your Answer
A

55 litres

Correct Answer
B

58 litres

Your Answer
C

64 litres

Your Answer
D

75 litres

Your Answer
E

80 litres


Solution

The correct option is A

58 litres


Amount of liquid left after n operations, when the container originally contains x units of liquid from which y units is taken out each time is

x(xyx)nunits.

Thus, in the above case, the amount of milk left

=80[80880]3 litres = 58.32 litres

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