A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest ₹ 6500 for 6 months, B, ₹ 8400 for 5 months and C, ₹ 10,000 for 3 months. A wants to be the working member for which he was to receive 5\% of the profits. The profit earned was ₹ 7400. Calculate the share of B in the profit.
(a)₹ 1900
(b)₹ 2660
(c)₹ 2800
(d)₹ 2840
Answer
Answer (as printed): B
Explanation
For managing, A receives $=5 \%$ of $₹ 7400=₹ 370$. Balance $=₹(7400-370)=₹ 7030$. Ratio of their investments $=(6500 \times 6):(8400 \times 5)$ : $(10000 \times 3)$ $$=39000: 42000: 30000=13: 14: 10 .$$ ∴ B's share $=₹\left(7030 \times \frac{14}{37}\right)=₹ 2660$.
Explanation as extracted from the printed page; notation may be imperfect.