If A : B : C = 2 : 3 : 4, then the ratio A B : B C : C A is equal to -

Answer: Option B

$$\begin{array}{rl}& \text{let A}=2\text{k},\text{B}=3\text{k,}\text{C}=4\text{k}\\ & \text{Then,}\\ & \Rightarrow \frac{\text{A}}{\text{B}}=\frac{2\text{k}}{3\text{k}}=\frac{2}{3},\\ & \Rightarrow \frac{\text{B}}{\text{C}}=\frac{3\text{k}}{4\text{k}}=\frac{3}{4},\\ & \Rightarrow \frac{\text{C}}{\text{A}}=\frac{4\text{k}}{2\text{k}}=2\\ & \Rightarrow \frac{\text{A}}{\text{B}}:\frac{\text{B}}{\text{C}}:\frac{\text{C}}{\text{A}}=\frac{2}{3}:\frac{3}{4}:2\\ & =8:9:24\end{array}$$