A, B and C started a business investing amounts in the ratio of 5 : 6 : 8 respectively. After one year, C withdrew 50\% of the amount and A invested an additional amount of 60\% of the original amount invested by him. In what ratio, the profit earned at the end of 2 years should be distributed among A, B and C respectively?
(a)2 : 3 : 3
(b)4 : 3 : 2
(c)13 : 12 : 12
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the initial investments of A, B and C be $5 x, 6 x$ and $8 x$ respectively. Then, $$\begin{aligned} & \text { A }: \mathrm{B}: \mathrm{C}=[5 x \times 12+(160 \% \text { of } 5 x) \times 12]:(6 x \times 24): \\ & (8 x \times 12+4 x \times 12) \\ & \quad=156 x: 144 x: 144 x=13: 12: 12 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.