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

The question is from CAT Ratio, Mixtures and Averages. Two types of wheat are mixed together. Price of one type and the resultant is given, we need to determine the price of another type. 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 25: 6 kg of Rs 8/kg wheat is mixed with 3 kg of another type of wheat to get a mixture costing Rs 10/kg. Find the price of the costlier wheat.

1. Rs 12/kg
2. Rs 14/kg
3. Rs 16/kg
4. Rs 6/kg

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.

Remember price will be in top of the cross, quantity will be in bottom of the cross and the final average in the middle.
Therefore, \\frac{(x-10)}{2}\\) = \\frac{6}{3}\\)
=> 3x – 30 = 12
=> x = \\frac{42}{3}\\) = 14

The question is "Find the price of the costlier wheat."

Hence, the answer is "Rs 14/kg".

Choice B is the correct answer.