A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 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 Rs. 7400. Calculate the share of B in the profit.

Rs. 1900

Rs. 2660

Rs. 2800

Rs. 2840

Explanation:

For managing, A received = 5% of Rs. 7400 = Rs. 370.

Balance = Rs. $\left(7400 - 370\right)$ = Rs. 7030.

Ratio of their investments = $\left(6500 \times 6\right)$ : $\left(8400 \times 5\right)$ : $\left(10000 \times 3\right)$

= 39000 : 42000 : 30000

= 13 : 14 : 10

$\therefore$ Bs share = Rs.$ \left(7030 \times\dfrac{14}{37} \right) $= Rs. 2660.