Pramod started a business with Rs. 40000. After 4 months Vikas also joined him with Rs. 60000 If at the end of the year, the profit is Rs. 16000, what is the share of Vikas in the profit?

Options

A. Rs 8000
B. Rs 4000
C. Rs 12000
D. Rs 10000

Answer

To find Vikas's share in the profit, we will follow these steps:

### Step 1: Calculate the investment of Pramod and Vikas
- Pramod starts the business with Rs. 40,000.
- Vikas joins after 4 months with Rs. 60,000.

### Step 2: Determine the time of investment for both partners
- Pramod's investment duration: He invests for the entire year (12 months).
- Vikas's investment duration: He invests for 8 months (since he joins after 4 months).

### Step 3: Calculate the effective capital contribution
- Pramod's effective capital contribution = Investment × Time = 40,000 × 12 = Rs. 480,000.
- Vikas's effective capital contribution = Investment × Time = 60,000 × 8 = Rs. 480,000.

### Step 4: Find the ratio of their effective capital contributions
- The ratio of Pramod's to Vikas's contribution is:
\[ \text{Ratio} = \frac{Pramod's \, contribution}{Vikas's \, contribution} = \frac{480,000}{480,000} = 1:1 \]

### Step 5: Calculate the total profit
- The total profit at the end of the year is given as Rs. 16,000.

### Step 6: Determine Vikas's share in the profit
- Since the ratio of their contributions is 1:1, the profit will be shared equally.
- Vikas's share = Total Profit × (Vikas's ratio part) / (Total ratio parts)
- Vikas's share = 16,000 × (1 / (1 + 1)) = 16,000 × (1 / 2) = Rs. 8,000.

### Final Answer
Vikas's share in the profit is Rs. 8,000.

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