Ratio of Variables

CMAT 2021 · Quantitative Techniques & Data Interpretation · Easy · Ratio and Proportion

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If $a$ is $\frac{3}{2}$ times of $b$ , $b$ is $\frac{3}{4}$ th of $c$ and $d$ is $\frac{1}{4}$ th of $c$ , the ratio of $a$ and $d$ is:

A.
8:3
B.
9:1
C.
8:1
D.
9:2

Answer

Explanation

We have $a = \frac{3}{2}b$ , $b = \frac{3}{4}c$ , and $d = \frac{1}{4}c \implies c = 4d$ . Then $b = \frac{3}{4}(4d) = 3d$ . $a = \frac{3}{2}(3d) = \frac{9}{2}d$ . So $\frac{a}{d} = \frac{9}{2}$ , giving the ratio $a:d = 9:2$ .

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Ratio of Variables

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