The correct answer is ₹404.
In a partnership, profit is distributed in the ratio of the investments made by the partners when the time period is the same.
1. Calculate the Total Investment:
Rekha's Investment = ₹1,320
Sanjay's Investment = ₹1,170
Poonam's Investment = ₹1,660
Total Investment = $1,320 + 1,170 + 1,660 = \mathbf{₹4,150}$
2. Determine the Ratio of Poonam's Investment:
Poonam's share ratio = $\frac{\text{Poonam's Investment}}{\text{Total Investment}} = \frac{1,660}{4,150}$
3. Calculate Poonam's Share of the Profit:
Total Profit = ₹1,010
Poonam's Share = $\frac{1,660}{4,150} \times 1,010$
Poonam's Share = $\frac{166}{415} \times 1,010$
Poonam's Share = $0.4 \times 1,010 = \mathbf{₹404}$
M and N start a business. M invests ₹79,000 more than N for 7 months and N invests for 6 months. M's share is ₹745 more than that of N, out of a total profit of ₹6,705. Find the capital contributed by M.