CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

The question is from CAT Ratio, Mixtures and Averages. How would we go about solving this one when we are mixing two things and making certain amount of profit? 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 31: What is the ratio in which water should be mixed with a coke concentrate costing Rs 15/litre to make a profit of 30% by selling the resultant drink at Rs 18/litre?

1. 12:1
2. 11:1
3. 1:10
4. 1:12

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.

C.P. to get 30% profit at Rs 18/litre = \\frac{18}{1.3}\\) = \\frac{180}{13}\\)
Therefore,

=> \\frac{15}{13}\\) : \\frac{180}{13}\\)
=> 1: 12
Note: Make sure you don’t mark 12:1 since in the question, water has been mentioned first. This can be a silly trap to fall into after all the hard work.

The question is "What is the ratio in which water should be mixed with a coke concentrate costing Rs 15/litre to make a profit of 30% by selling the resultant drink at Rs 18/litre?"

Hence, the answer is "1:12".

Choice D is the correct answer.