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.34: Two tanks of similar volume are full of a mixture of oil and water. In the first, the ratio of oil and water is 5:8 and in the second, it is 7:19. If both these tanks are poured in a larger tank, what would be the resultant ratio of oil and water?
    1. 1:3
    2. 17:52
    3. 151:304
    4. 17:35

 

  • Correct Answer
    Choice D. 17:35

Detailed Solution


In this type of questions, take one of the components and find its proportion in the overall mixture.
In first tank, Oil/Water = 5/8 therefore, Oil/Mixture = 5/13
In second tank, Oil/Water = 7/19 therefore, Oil/Mixture = 7/26
Therefore,

= )
= ) = 2x
= ) 2x =
= ) x =
Therefore, Oil : Mixture = = ) Oil : Water




Correct Answer: 17:35



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