A container contains full of milk. A milk van specializing in adulteration takes out 8 litres from this container and then fills the container with water. This
operation is performed three more times. The ratio of the quantity of milk now left in container to that of the water is 16:65. What is the capacity of the
container in litres?
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Dear Student,
◆ Answer -
Capacity of container = 24 L
● Explaination -
Given that ratio of remaining milk to added water is 16/65.
Remaining milk / added water = 16/65
Let x be the capacity of container. Now, ratio of remaining milk to initial milk will be -
Remaining milk / initial milk = 16 / (16+65) = 16/81
In 4 attempts of adulteration,
16m = 81m (1-8/x)^4
16/81 = (1-8/x)^4
1 - 8/x = 2/3
1 - 2/3 = 8/x
x = 8 / (1/3)
x = 24 L
Therefore, capacity of the container must be 24 L.
Thanks dear...
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