Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Ratio and Proportion > Miscellaneous

1. 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

Solution:

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

You must login to add comments. Login now.