CAT Practice : Averages, Ratios, Mixtures

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.


    Q.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


  • Correct Answer
    Choice D. 0.111 l

Detailed Solution

As we know 11.11% =
Therefore, to gain 11.11%, C.P. + * C.P. = 10
= ) = 10 = ) C.P. = Rs 9

So, Juice: Water = 9 : 1 With 1 litre of juice, water = * litre = 0.111 l
Note: Read the question carefully, it is saying per litre of juice and NOT per litre of mixture

Correct Answer: 0.111 l

Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.

Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play