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.

Alligation

    Q.37: What would be the ratio of milk and water in a final mixture formed by mixing milk and water that are present in three vessels of capacity 1l, 2l, and 3l respectively and in the ratios 5:1, 3:2 and 4:3 respectively?
    1. 747:443
    2. 787:1260
    3. 787:473
    4. 747:473

 

  • Correct Answer
    Choice C. 787:473

Detailed Solution


Solve this type of questions by taking 2 at a time. Take the first 2 vessels,
In 1st, fraction of milk =
In 2nd, fraction of milk =
Therefore,

= )
= )
= )
= ) (And the volume of mixture after mixing = 1 + 2 = 3 l)
Therefore,

= )
= )
= )
= )
Therefore, Milk : Water =





Correct Answer: 787:473



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