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

###### CAT Questions | Mixtures and Alligations | Alligation

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 2020.

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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##### 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, 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. ###### Fabulous 5,000 off on CAT Online Courses. Valid until 16th May ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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