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.28: A mixture of 100 litres of spirit and alcohol contains 25% alcohol. How much more alcohol should be added to the mixture to increase the percentage of alcohol to 30% in the new mixture?
    1. 3.33 litres
    2. 4 litres
    3. 5.67 litres
    4. 7.14 litres


  • Correct Answer
    Choice D. 7.14 litres

Detailed Solution

Alcohol content in the alcohol to be added = 100%
Therefore, the allegation diagram for this problem can be drawn as:

Therefore, ratio of the mixture to alcohol =
So, alcohol to be added =

Correct Answer: 7.14 litres

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