Final answer:
B's share of the profit in a business venture, after accounting for A's role as a working member, is calculated based on their investment amount and period. By determining the total ratio and the value per unit, B's share turns out to be Rs. 2660.
Step-by-step explanation:
To calculate the share of B in the profit from a business venture, we need to consider the amount of money each person invested and the duration of their investment.
First, we calculate the profit share ratio, which is based on the product of the investment and the time period. Then, after accounting for A's additional compensation for being the working member, we can distribute the remaining profit according to the calculated ratio.
The profit share is calculated as follows:
- A's investment = Rs. 6500 for 6 months = Rs. 6500 * 6 = 39000
- B's investment = Rs. 8400 for 5 months = Rs. 8400 * 5 = 42000
- C's investment = Rs. 10000 for 3 months = Rs. 10000 * 3 = 30000
Total investment ratio = 39000 : 42000 : 30000
A's share as working member = 5% of profits = 5/100 * Rs. 7400 = Rs. 370
Remaining profit to be shared = Rs. 7400 - Rs. 370 = Rs. 7030
Total ratio in terms of units = 39 : 42 : 30 = 111 units
Value of one unit = Rs. 7030 / 111 units
Value of one unit = Rs. 63.3333333
So, B's share in the profits = 42 units * Rs. 63.3333333 = Rs. 2660
Hence, the share of B in the profit earned is Rs. 2660.