Suresh and Jagdish start a business investing Rs. 15000 and Rs. 22000 respectively. After 4 months Suresh puts in Rs. 4000 more and Jagdish withdraws Rs. 2000. At the end of year total profit was Rs. 11500. What is the share of jagdish in it?

Options

A. Rs. 6900
B. Rs. 5300
C. Rs. 6200
D. Rs. 4600

Answer

To solve the problem, we need to calculate the share of Jagdish in the total profit of Rs. 11,500 based on their investments and the duration of those investments. Here’s how we can do it step by step:

### Step 1: Calculate the initial investments and the time period
- Suresh's initial investment = Rs. 15,000
- Jagdish's initial investment = Rs. 22,000
- Both invested for the first 4 months.

### Step 2: Calculate the investment after 4 months
- After 4 months, Suresh adds Rs. 4,000 to his investment, making it:
- Suresh's total investment = Rs. 15,000 + Rs. 4,000 = Rs. 19,000
- Jagdish withdraws Rs. 2,000, making his investment:
- Jagdish's total investment = Rs. 22,000 - Rs. 2,000 = Rs. 20,000

### Step 3: Calculate the effective capital contribution for the entire year
- Suresh's capital contribution for the first 4 months:
- \( 15,000 \times 4 = 60,000 \)
- Suresh's capital contribution for the remaining 8 months:
- \( 19,000 \times 8 = 152,000 \)
- Total contribution by Suresh:
- \( 60,000 + 152,000 = 212,000 \)

- Jagdish's capital contribution for the first 4 months:
- \( 22,000 \times 4 = 88,000 \)
- Jagdish's capital contribution for the remaining 8 months:
- \( 20,000 \times 8 = 160,000 \)
- Total contribution by Jagdish:
- \( 88,000 + 160,000 = 248,000 \)

### Step 4: Calculate the ratio of their contributions
- The total contributions are:
- Suresh: Rs. 212,000
- Jagdish: Rs. 248,000
- The ratio of their contributions is:
- Suresh : Jagdish = 212,000 : 248,000
- Simplifying this ratio:
- \( \frac{212}{248} = \frac{53}{62} \)

### Step 5: Calculate Jagdish's share of the profit
- Total profit = Rs. 11,500
- Total parts in the ratio = 53 + 62 = 115
- Jagdish's share of the profit:
- \( \text{Jagdish's share} = \frac{62}{115} \times 11,500 \)
- \( = \frac{62 \times 11,500}{115} \)
- \( = 6200 \)

### Conclusion
Jagdish's share in the profit is Rs. 6200.