P started a business by the investing Rs. 35000 and Q joined him after one year with an amount of Rs. 21000. After two years from the starting of the business, they earned profit of Rs. 26000. What will be the Ps share (in Rs.) in the profit?

Options

A. 15000
B. 18000
C. 20000
D. 16000

Answer

To solve the problem, we need to determine P's share in the profit of Rs. 26,000 based on their investments and the duration for which they invested.

### Step-by-Step Solution:

1. **Identify the Investments and Time Periods:**
- P's investment: Rs. 35,000 (for 2 years)
- Q's investment: Rs. 21,000 (for 1 year)

2. **Calculate the Effective Investment:**
- For P:
- Effective investment = Investment × Time = Rs. 35,000 × 2 = Rs. 70,000
- For Q:
- Effective investment = Investment × Time = Rs. 21,000 × 1 = Rs. 21,000

3. **Determine the Profit Sharing Ratio:**
- P's effective investment: Rs. 70,000
- Q's effective investment: Rs. 21,000
- Ratio of P's to Q's investment = 70,000 : 21,000

4. **Simplify the Ratio:**
- To simplify, we can divide both sides by 7,000:
- P : Q = 10 : 3

5. **Calculate Total Parts in the Ratio:**
- Total parts = 10 (for P) + 3 (for Q) = 13 parts

6. **Determine the Value of Each Part:**
- Total profit = Rs. 26,000
- Value of one part = Total profit / Total parts = 26,000 / 13 = Rs. 2,000

7. **Calculate P's Share in the Profit:**
- P's share = P's parts × Value of one part = 10 × 2,000 = Rs. 20,000

### Final Answer:
P's share in the profit is Rs. 20,000.

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