If A : B = 1/2 : 1/3 and B : C = 1/2 : 1/3, then A, B, C is equal to -

Answer: Option D

$$\begin{array}{rl}& =A:B=\frac{1}{2}:\frac{1}{3}=3:2,\\ & =\text{B}:\text{C}=\frac{1}{2}:\frac{1}{3}=3:2\\ & =\left(3\times \frac{2}{3}\right):\left(2\times \frac{2}{3}\right)\\ & =2:\frac{4}{3}.\\ & \Rightarrow \text{A}:\text{B}:\text{C}=3:2:\frac{4}{3}\\ & =9:6:4\end{array}$$