CAT 2021 Slot 2 · Quant · Question 4
CAT 2021 Slot 2 previous year question on Averages, Mixture and Alligation, with the answer and a step-by-step solution.
From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
Answer & solution
Answer: 45
After each replacement the milk left is multiplied by \left( 1-\frac{9}{C}\right), where C is the capacity.
After two replacements the fraction of milk is {\left( 1-\frac{9}{C}\right)}^{2}.
Milk : water =16:9 means milk is \frac{16}{25} of the whole,
so {\left( 1-\frac{9}{C}\right)}^{2}=\frac{16}{25} and 1-\frac{9}{C}=\frac{4}{5}.
Hence \frac{9}{C}=\frac{1}{5} and C=45 litres.
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