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Ratios and differences of three numbers

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Ratio and Proportion

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Three numbers X, Y and Z are in the ratio of 12 : 15 : 25. If the sum of twice of these numbers is 614, the ratio between the difference of Y and X and the difference of Z and Y is:-

  1. A.

    3:7

  2. B.

    5:1

  3. C.

    3:10

  4. D.

    10:3

Answer

C

Explanation

Let X=12k,Y=15k,Z=25kX = 12k, Y = 15k, Z = 25k. Difference between YY and X=15k−12k=3kX = 15k - 12k = 3k. Difference between ZZ and Y=25k−15k=10kY = 25k - 15k = 10k. Ratio = 3k10k=3:10\frac{3k}{10k} = 3 : 10.

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