Ratio and Proportion | Arithmetic aptitude | Discussion Page

If $2A=3B$ and $4B=5C$, then $A:C$ is :

A) 15:8

B) 15:7

C) 7:15

D) 12:4

E) 12:15

Option A

$2A=3B$ and $4B=5C$ $\Rightarrow\left(\frac{A}{B}\right)$

$=\left(\frac{3}{2}\right)$ and $\left(\frac{B}{C}\right)$ $=\left(\frac{5}{4}\right)$

$\Rightarrow\frac{A}{C}$ $=\left(\frac{A}{B}\times\frac{B}{C}\right)$ $=\left(\frac{3}{2}\times\frac{5}{4}\right)$

$=\frac{15}{8}$ $\Rightarrow A:C =15:8.$

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