Alok started a business with Rs. 75000. After 3 months Chandan also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000. What is the share of Chandan in the profit?

Options

A. Rs 6000
B. Rs 10000
C. Rs 8000
D. Rs 4500

Answer

To find Chandan's share of the profit, we need to calculate the effective capital contribution of both Alok and Chandan over the time they invested in the business. Here’s how we can solve it step by step:

### Step 1: Calculate Alok's Investment in Terms of Months
Alok invested Rs. 75,000 for 12 months (the entire year).
- Alok's investment = 75,000 * 12 = Rs. 900,000

### Step 2: Calculate Chandan's Investment in Terms of Months
Chandan joined after 3 months, so he invested for 9 months.
- Chandan's investment = 60,000 * 9 = Rs. 540,000

### Step 3: Calculate the Total Investment
Now, we can find the total investment by adding both investments.
- Total investment = Alok's investment + Chandan's investment
- Total investment = 900,000 + 540,000 = Rs. 1,440,000

### Step 4: Find the Ratio of Their Investments
Next, we find the ratio of Alok's investment to Chandan's investment.
- Ratio of Alok to Chandan = 900,000 : 540,000
- To simplify this ratio, we can divide both sides by 60,000:
- Alok : Chandan = 15 : 9
- Further simplifying gives us: Alok : Chandan = 5 : 3

### Step 5: Calculate Chandan's Share of the Profit
The total profit at the end of the year is Rs. 16,000. We need to find Chandan's share based on the ratio we calculated.
- Total parts in the ratio = 5 + 3 = 8 parts
- Chandan's share = (Chandan's parts / Total parts) * Total profit
- Chandan's share = (3 / 8) * 16,000 = Rs. 6,000

### Final Answer
Chandan's share in the profit is Rs. 6,000.

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