Question

Mansi and Neha together invested ₹40400 in a business. At the end of the year, out of a total profit of ₹5000, Mansi's share was ₹1900. What was the investment of Neha?

• A. ₹24015
• B. ₹25048
• C. ₹23380
• D. ₹26705

Answer 1

Answer:

B. ₹25048

1. Find Mansi's profit ratio:

• Total profit = ₹5000

• Mansi's share = ₹1900

• Mansi's profit ratio = ₹1900 / ₹5000 = 19/50

2. Find Neha's profit ratio:

• Total profit ratio = 1

• Neha's profit ratio = 1 - Mansi's profit ratio

• Neha's profit ratio = 1 - 19/50 = 31/50

3. Profit ratio equals investment ratio:

• In a partnership, profit is generally distributed in the ratio of the investments made.

4. Find Mansi's investment ratio:

• Let Mansi's investment be M and Neha's investment be N.

• Total investment = ₹40400

• Mansi's investment ratio = M / ₹40400

5. Find Neha's investment ratio:

• Neha's investment ratio = N / ₹40400

6. Equate profit ratio to investment ratio for Mansi:

• Mansi's profit ratio = Mansi's investment ratio

• 19/50 = M / ₹40400

7. Solve for Mansi's investment (M):

• M = (19/50) * ₹40400

• M = ₹15352

8. Calculate Neha's investment (N):

• Total investment = Mansi's investment + Neha's investment

• ₹40400 = ₹15352 + N

• N = ₹40400 - ₹15352

• N = ₹25048

Therefore, Neha's investment was ₹25048.