CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions
CAT Questions | Mixtures and Alligations | Alligation
CAT Questions
The question is from CAT Ratio, Mixtures and Averages. It is a really simple question. We can solve this one by looking at it or we can go for the alligation method. 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 2023.
Question 30: A milkman purchases milk at Rs 20/litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of Rs 20/litre, he earns a profit of 40%. The amount of mixture he had with him to sell was:
- 10 litres
- 12 litres
- 14 litres
- 4 litres
14 litres
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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.
To earn a profit of 40% at Rs 20/litre,
Cost price = \\frac{20}{1.4}\\) = \\frac{100}{7}\\)
Therefore,
Milk: Water = \\frac{100}{7}\\) : \\frac{40}{7}\\) = 5:2
So, in 4 litres of water, 10 litres of milk would be required. Resultant mixture = 14 litres
The question is "The amount of mixture he had with him to sell was:"
Hence, the answer is "14 litres".
Choice C is the correct answer.
