A and B started a business by investing Rs.4200 and Rs.5600 respectively. After four months, A withdrew 25\% of his initial investment, and B withdrew Rs.1600. At the end of one year, the difference between the profit shares of A and B is Rs.2480. What is the profit share of B?

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**Solution:**

1. **Initial investments:**
   - A invests Rs.4200
   - B invests Rs.5600

2. **Changes after 4 months:**
   - A withdraws 25\% of Rs.4200 = Rs.1050, so new investment = Rs.4200 - Rs.1050 = Rs.3150
   - B withdraws Rs.1600, so new investment = Rs.5600 - Rs.1600 = Rs.4000

3. **Calculate the weighted investments for the entire year:**
   - For A:
     - For first 4 months: Rs.4200 	imes 4 = 16800
     - For next 8 months: Rs.3150 	imes 8 = 25200
     - Total investment-months for A = 16800 + 25200 = 42000

- For B:
     - For first 4 months: Rs.5600 	imes 4 = 22400
     - For next 8 months: Rs.4000 	imes 8 = 32000
     - Total investment-months for B = 22400 + 32000 = 54400

4. **Ratio of investments:**
   $$	ext{A : B} = 42000 : 54400 = 105 : 136$$

5. **Let total profit be P.**
   - Profit share of A = $\frac{105}{105 + 136} 	imes P = \frac{105}{241} P$
   - Profit share of B = $\frac{136}{241} P$

6. **Given difference between profit shares:**
   $$\frac{136}{241} P - \frac{105}{241} P = 2480$$
   $$\Rightarrow \frac{31}{241} P = 2480$$

7. **Calculate total profit P:**
   $$P = \frac{2480 	imes 241}{31} = 2480 	imes 7.774 = 19270.4$$ (approx)

8. **Profit share of B:**
   $$= \frac{136}{241} 	imes 19270.4 \approx 10880$$

**Answer:** Rs.10880

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