If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
a) 2 : 3 : 3
b) 3 : 4 : 5
c) 4 : 5 : 6
d) 9 : 8 : 10

Answer: d
Explanation:
$$\eqalign{ & {\frac{{2A}}{3}} = {\frac{{75B}}{{100}}} = {\frac{{C \times 6}}{{10}}} \cr & {\text{Above}}\,{\text{relation}}\,{\text{gives}}; \cr & \frac{{A \times 2}}{3} = \frac{{B \times 3}}{4} \cr & \to \frac{A}{B} = \frac{9}{8} \cr & {\text{And}}, \cr & \frac{{B \times 3}}{4} = \frac{{C \times 3}}{5} \cr & \to \frac{B}{C} = 4:5 \cr & \to \frac{B}{C} = 8:10 {\text{ (multiple by 2)}} \cr & A:B:C = 9:8:10 \cr} $$