Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his busi ness with a capital of Rs. 30,000. At the end of the year, they have made a profit of Rs. 19.000. What will be Anil's share in the profit?

Options

A. Rs. 10,000
B. Rs. 12.500
C. Rs. 10,250
D. Rs. 14,000

Answer

To solve the problem step by step, we will calculate Anil's share in the profit based on their investments and the time they invested in the business.

### Step 1: Determine the investment and time for both Anil and Vishal.
- **Anil's Investment**: Rs. 25,000 for 12 months (1 year).
- **Vishal's Investment**: Rs. 30,000 for 9 months (since he joined after 3 months).

### Step 2: Calculate the effective capital contribution for both Anil and Vishal.
- **Anil's Effective Capital Contribution**:
\[ \text{Anil's Contribution} = \text{Investment} \times \text{Time} = 25000 \times 12 = 300000 \]

- **Vishal's Effective Capital Contribution**:
\[ \text{Vishal's Contribution} = \text{Investment} \times \text{Time} = 30000 \times 9 = 270000 \]

### Step 3: Find the total effective capital contribution.
- **Total Contribution**:
\[ \text{Total Contribution} = \text{Anil's Contribution} + \text{Vishal's Contribution} = 300000 + 270000 = 570000 \]

### Step 4: Determine the profit-sharing ratio.
- **Profit-sharing Ratio**:
\[ \text{Anil's Ratio} : \text{Vishal's Ratio} = 300000 : 270000 \]
To simplify this ratio, we can divide both sides by 30000:
\[ 10 : 9 \]

### Step 5: Calculate Anil's share of the profit.
- **Total Profit**: Rs. 19,000
- **Total Parts in the Ratio**: \(10 + 9 = 19\)
- **Anil's Share**:
\[ \text{Anil's Share} = \left(\frac{10}{19}\right) \times 19000 \]
\[ \text{Anil's Share} = \frac{190000}{19} = 10000 \]

### Final Answer:
Anil's share in the profit is **Rs. 10,000**.

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