Ram started a business investing Rs. 45000. Three months after he started , Anil joined him with Rs. 60000 . If at the end of the year the total profit in the business is Rs. 26000. What would be the share of Anil in the profit?

Options

A. 10000
B. 140000
C. 13000
D. 160000

Answer

To find Anil's share in the profit, we need to follow these steps:

### Step 1: Determine the time of investment for each partner
- Ram invested Rs. 45,000 for the entire year (12 months).
- Anil joined 3 months later, so he invested Rs. 60,000 for 9 months.

### Step 2: Calculate the capital contribution in terms of "months"
- Ram's contribution:
\[ 45000 \text{ (Rs)} \times 12 \text{ (months)} = 540000 \text{ (Rs-months)} \]
- Anil's contribution:
\[ 60000 \text{ (Rs)} \times 9 \text{ (months)} = 540000 \text{ (Rs-months)} \]

### Step 3: Set up the ratio of their contributions
- The ratio of Ram's contribution to Anil's contribution is:
\[ \text{Ram's contribution} : \text{Anil's contribution} = 540000 : 540000 = 1 : 1 \]

### Step 4: Calculate the total profit
- The total profit at the end of the year is Rs. 26,000.

### Step 5: Divide the profit according to the ratio
- Since the ratio of their contributions is 1:1, we can divide the total profit equally:
\[ \text{Anil's share} = \frac{26000}{2} = 13000 \text{ (Rs)} \]

### Final Answer:
- Anil's share in the profit is Rs. 13,000.

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