Question

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:

Accepted Answer

D. 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 $a:d = 9:2$.

Ratio of Variables

Explanation

Practise this under exam conditions