Mr. A opened a workshop investing 40,000. He invested additional amount of 10,000 every year. After two years his Student B joined him with an amount of 85,000. There after B did not invest any additional amount. On completion of four year form the opening of workshop they earned an amount of 1,95,000. What will be A's share in the earning.-

Answer

To solve the problem step by step, we need to calculate the total investment made by Mr. A and Mr. B, and then determine their respective shares in the profit earned from the workshop.

### Step-by-Step Solution:

1. **Initial Investment by A**:
- Mr. A initially invests ₹40,000.

2. **Additional Investments by A**:
- Mr. A invests an additional ₹10,000 each year for 4 years.
- Year 1: ₹40,000 (initial)
- Year 2: ₹40,000 + ₹10,000 = ₹50,000
- Year 3: ₹50,000 + ₹10,000 = ₹60,000
- Year 4: ₹60,000 + ₹10,000 = ₹70,000
- Total investment by A over 4 years = ₹40,000 + ₹50,000 + ₹60,000 + ₹70,000 = ₹220,000.

3. **Investment by B**:
- Mr. B joins after 2 years with an investment of ₹85,000.
- Since he does not invest any additional amount, his total investment remains ₹85,000.

4. **Calculating the Time Factor**:
- A's investment is active for 4 years:
- Year 1: ₹40,000 for 4 years = 40,000 * 4 = 160,000
- Year 2: ₹50,000 for 3 years = 50,000 * 3 = 150,000
- Year 3: ₹60,000 for 2 years = 60,000 * 2 = 120,000
- Year 4: ₹70,000 for 1 year = 70,000 * 1 = 70,000
- Total contribution of A = 160,000 + 150,000 + 120,000 + 70,000 = ₹500,000.

- B's investment is active for 2 years:
- Year 3: ₹85,000 for 2 years = 85,000 * 2 = 170,000
- Year 4: ₹85,000 for 1 year = 85,000 * 1 = 85,000
- Total contribution of B = 170,000 + 85,000 = ₹255,000.

5. **Total Contributions**:
- Total contribution by A = ₹500,000.
- Total contribution by B = ₹255,000.

6. **Calculating the Ratio of Contributions**:
- The ratio of A's contribution to B's contribution = 500,000 : 255,000.
- Simplifying this ratio, we can divide both sides by 5,000:
- A : B = 100 : 51.

7. **Total Profit**:
- The total profit earned from the workshop is ₹195,000.

8. **Calculating A's Share in Profit**:
- Total parts = 100 + 51 = 151.
- A's share = (A's ratio / Total parts) * Total profit = (100 / 151) * 195,000.
- A's share = ₹129,140.39 (approximately).

### Final Answer:
Mr. A's share in the earnings is approximately ₹129,140.39.