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

Answer: Option D

Let 2A = 3B = 4C = k
$$\begin{array}{rl}& \text{Then,}\\ & A=\frac{k}{2},\\ & B=\frac{k}{3},\\ & C=\frac{k}{4}\\ & \therefore \text{A}:\text{B}:\text{C}=\frac{k}{2}:\frac{k}{3}:\frac{k}{4}\\ & =\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\text{ (Multiply by 12)}\\ & =6:4:3\end{array}$$