1)

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


A) 11:7

B) 12:9

C) 15:8

D) 14:7

E) 15:7

Answer:

Option C

Explanation:

$2A=3B$ and $4B=5C$  $\Rightarrow \frac{A}{B}=\frac{3}{2}$ and $\frac{B}{C}=\frac{5}{4}$

$\Rightarrow\frac{A}{C}$ $=\frac{A}{B}\times\frac{B}{C}$ $= \frac{3}{2}\times\frac{5}{4}$

$\Rightarrow A:C = 15:8$.