Two friends A and B started a business by investing ₹1,50,000 and ₹2,50,000, respectively. They agreed to distribute their earnings in the same ratio of their investments. After one year, the profit earned was ₹6,00,000. Each of them added ₹50,000 to their respective profits and invested in a different project. If this project gave a yield of ₹4,20,000, then what is A’s share in the profit?

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**Solution:**

1. Calculate the ratio of investments of A and B:
   - A's investment = ₹1,50,000
   - B's investment = ₹2,50,000
   - Ratio = 1,50,000 : 2,50,000 = 3 : 5

2. Calculate the profit share of A and B from the first project:
   - Total profit = ₹6,00,000
   - Sum of ratio parts = 3 + 5 = 8
   - A's profit = $ \frac{6,00,000 \times 3}{8} = 2,25,000 $
   - B's profit = $ \frac{6,00,000 \times 5}{8} = 3,75,000 $

3. Each adds ₹50,000 to their profits and invests in the new project:
   - A's new investment = 2,25,000 + 50,000 = ₹2,75,000
   - B's new investment = 3,75,000 + 50,000 = ₹4,25,000

4. Calculate the new ratio of investments:
   - Ratio = 2,75,000 : 4,25,000 = 11 : 17

5. Total profit from the new project = ₹4,20,000

6. Calculate A's share in the new profit:
   - Sum of ratio parts = 11 + 17 = 28
   - A's share = $ \frac{4,20,000 \times 11}{28} = ₹1,65,000 $

**Answer:** ₹1,65,000

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