A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest ₹6,500 for 6 months, B ₹8,400 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 ₹7,400. What is the share of B in the profit?

Question

Accepted Answer

**Solution:**

1. Calculate the ratio of investments considering time:
   - A's investment = ₹6500 × 6 = 39000
   - B's investment = ₹8400 × 5 = 42000
   - C's investment = ₹10000 × 3 = 30000

2. Ratio of investments = 39000 : 42000 : 30000 = 13 : 14 : 10

3. Total profit = ₹7400

4. A receives 5\% of the profit as working member:
   $$	ext{A's working share} = 7400 	imes \frac{5}{100} = 370$$

5. Remaining profit to be shared according to investment ratio:
   $$7400 - 370 = 7030$$

6. B's share in profit:
   $$7030 	imes \frac{14}{13 + 14 + 10} = 7030 	imes \frac{14}{37} = 2660$$

**Answer:** ₹2,660

Answer

Answer

Answer