Mixtures and Allegations Practice Test 1

Question : 16 of 40

Marks: +1, -0

From a cask of wine containing 25 litres, 5 litres are withdrawn and the cask is refilled with water. The process is repeated a second and then a third time. Find the quantity of wine left in the cask and also the ratio of wine to water in the resulting mixture.

61 : 64
16 : 46
46 : 16
64 : 61

Validate

Solution:

Here, quantity of wine left after third operation

=(1-5/25)^3×25

=64/125×25

=12 4/5\litres

Final ratio of wine to water

={64/125}/{1-64/125}={64/125}/{61/125}

Wine : Water

= 64:61

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