1) Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit?

To calculate Sohan's share in the profit, we need to determine the ratio of their investments, taking into account the time they invested in the business.

### Step-by-step solution:

1. **Sohan's Investment:**
   - Sohan invested Rs. 80,000 for **12 months** (1 year).
   - His contribution in terms of "investment × time" is:
   \[
   80000 \times 12 = 960000
   \]

2. **Mohan's Investment:**
   - Mohan joined after 6 months, so he invested Rs. 65,000 for **6 months**.
   - His contribution in terms of "investment × time" is:
   \[
   65000 \times 6 = 390000
   \]

3. **Ratio of their contributions:**
   The ratio of Sohan’s and Mohan’s investments is:
   \[
   \text{Ratio of Sohan to Mohan} = \frac{960000}{390000} = \frac{32}{13}
   \]
   
4. **Total Profit:**
   The total profit is Rs. 20,000.

5. **Sohan's Share of the Profit:**
   The profit will be divided in the ratio of their contributions. So, Sohan's share in the profit is:
   \[
   \text{Sohan's share} = \frac{32}{32 + 13} \times 20000 = \frac{32}{45} \times 20000 = \frac{640000}{45} = 14222.22
   \]
   Hence, Sohan's share in the profit is **Rs. 14,222.22**.

### Conclusion:
Sohan's share of the profit is **Rs. 14,222.22**.

Do you want further details on this, or have any questions?

Here are 5 related questions to expand on this concept:
1. How would the profit-sharing change if Mohan invested Rs. 85,000 instead of Rs. 65,000?
2. What would happen to the profit distribution if Sohan had invested for 18 months?
3. If the total profit was Rs. 50,000, how much would Mohan receive?
4. How does the timing of investments impact profit sharing in a partnership?
5. Can profit shares be equal if the time of investment differs significantly?

**Tip:** In partnership problems, always calculate each partner's contribution based on both the amount invested and the time period of investment.

Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit?

Learn how to calculate profit shares in a partnership where Sohan invested Rs. 80000 for 12 months and Mohan invested Rs. 65000 for 6 months. This step-by-step solution explains how to divide the total profit of Rs. 20000 based on the ratio of their investments and time periods.

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