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

A. 2 : 3 : 4

B. 3 : 4 : 6

C. 4 : 3 : 2

D. 6 : 4 : 3

Answer: Option D

Solution(By Examveda Team)

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