If 20% of A = 30% of B = 1/6 of C, then A : B : C is -

Answer: Option D

$$\begin{array}{rl}& 20\%\text{of A}=30\%\text{of B}=\frac{1}{6}\text{of C}\\ & \Rightarrow \frac{20\text{A}}{100}=\frac{30\text{B}}{100}=\frac{\text{C}}{\text{6}}\\ & \Rightarrow \frac{\text{A}}{5}=\frac{3\text{B}}{10}=\frac{C}{6}=k(say)\\ & \Rightarrow A=5K,B=\frac{10k}{3},C=6k\\ & \therefore \text{A}:\text{B}:\text{C}=5k:\frac{10k}{3}:6k\\ & =5:\frac{10}{3}:6\\ & =15:10:18\end{array}$$