Question

A, B and C start a business. If the ratio of their periods of investments is 2 : 3 : 6 and their profits are in the ratio of 4 : 5 : 6, then which of the following is the ratio of capitals of A, B and C?

• A. 6 : 8 : 10
• B. 12 : 10 : 6
• C. 10 : 12 : 6
• D. 6 : 7 : 8
• E. None of these

Answer 1

The correct option is B 12 : 10 : 6

We have $P_1:P_2:P_3=4:5:6$ and $t_1:t_2:t_3=2:3:6$.
$\therefore$ Required ratio = $\frac{P_1}{t_1}:\frac{P_2}{t_2}:\frac{P_3}{t_3}=\frac{4}{2}:\frac{4}{2}:\frac{5}{3}:\frac{6}{6}$
or, 12 : 10 : 6
Thus, A, B and C invested their capitals in the ratio of 12 : 10 : 06.