Ratio and Proportion | Arithmetic aptitude | Discussion Page

If $A:B=8:15$, $B:C=5:8$ and $C:D=4:5$, then $A:D$ is equal to :

A) $\frac{4}{15}$

B) $\frac{3}{15}$

C) $\frac{1}{17}$

D) $\frac{2}{17}$

E) $\frac{3}{17}$

Option A

$\frac{A}{B}=\frac{8}{15}$,

$\frac{B}{C}=\frac{5}{8}$

$\frac{C}{D}=\frac{4}{5}$

$\Rightarrow\frac{A}{D}$ $=\left(\frac{A}{B}\times\frac{B}{C}\times\frac{C}{D}\right) $

$=\left(\frac{8}{15}\times\frac{5}{8}\times\frac{4}{5}\right)$

$ =\frac{4}{15}$

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