If 2/3 of A=75% of B = 0.6 of C, then A : B : C is

Answer: Option D

$$\begin{array}{rl}& \text{According}\text{to}\text{thequestion,}\\ & \frac{2A}{3}=\frac{75B}{100}=\frac{C\times 6}{10}\\ & \text{Above}\text{relation}\text{gives};\\ & \frac{A\times 2}{3}=\frac{B\times 3}{4}\\ & \to \frac{A}{B}=\frac{9}{8}\\ & \text{And},\\ & \frac{B\times 3}{4}=\frac{C\times 3}{5}\\ & \to \frac{B}{C}=4:5\\ & \to \frac{B}{C}=8:10\text{ (multiple by 2)}\\ & \text{Thus,}\\ & A:B:C=9:8:10\end{array}$$