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The question is from CAT Ratio, Mixtures and Averages. It is about mixtures and profit and loss. When juice is diluted with water and gives profit what is the quantity of water in 1l juice? CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2019.

Question 33: A man buys juice at Rs 10/litre and dilutes it with water. He sells the mixtures at the cost price and thus gains 11.11%. Find the quantity of water mixed by him in every litre of juice.

  1. 0.1 l
  2. 0.909 l
  3. 0.125 l
  4. 0.111 l

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Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

As we know 11.11% = \\frac{1}{9}\\)
Therefore, to gain 11.11%, C.P. + \\frac{1}{9}\\) * C.P. = 10
=> \\frac{10C.P}{9}\\) = 10 => C.P. = Rs 9
Therefore,
CAT Question - Ratio and Proportion 9
So, Juice: Water = 9 : 1
With 1 litre of juice, water = \\frac{1}{9}\\) * litre = 0.111 l
Note: Read the question carefully, it is saying per litre of juice and NOT per litre of mixture

The question is "Find the quantity of water mixed by him in every litre of juice."

Hence, the answer is "0.111 l".

Choice D is the correct answer.

 

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