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Ratio expression evaluation

CMAT 2020 · Quantitative Techniques & Data Interpretation · Easy · Ratio and Proportion

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If x:y=2:3x : y = 2 : 3, the value of (3x+2y):(2x+5y)(3x + 2y) : (2x + 5y) is:

  1. A.

    1225\frac{12}{25}

  2. B.

    1127\frac{11}{27}

  3. C.

    1115\frac{11}{15}

  4. D.

    1219\frac{12}{19}

Answer

D

Explanation

Substitute x=2x = 2 and y=3y = 3 into the given expression:

3(2)+2(3)2(2)+5(3)=6+64+15=1219\frac{3(2) + 2(3)}{2(2) + 5(3)} = \frac{6 + 6}{4 + 15} = \frac{12}{19}

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