Sunil and Gopal are partners in a business. Sunil invests Rs. 20,000 for 9 months and Gopal invests Rs. 30,000 for 12 months. Find the share of Sunil from the total profit of Rs. 60,000

A. Rs. 15000

B. Rs. 18000

C. Rs. 25000

D. Rs. 20000

Options

A. C
B. A
C. D
D. B

Answer

To find Sunil's share of the total profit, we need to calculate the capital contribution of each partner in terms of "capital months" and then determine the ratio of their contributions. Here’s how to do it step by step:

### Step 1: Calculate Sunil's Capital Contribution
Sunil invests Rs. 20,000 for 9 months.
To find the capital contribution in "capital months", we multiply the amount invested by the time period:

\[ \text{Sunil's Capital Contribution} = 20,000 \times 9 = 180,000 \text{ capital months} \]

### Step 2: Calculate Gopal's Capital Contribution
Gopal invests Rs. 30,000 for 12 months.
Similarly, we calculate his capital contribution:

\[ \text{Gopal's Capital Contribution} = 30,000 \times 12 = 360,000 \text{ capital months} \]

### Step 3: Calculate the Total Capital Contribution
Now, we sum up the capital contributions of both partners:

\[ \text{Total Capital Contribution} = \text{Sunil's Contribution} + \text{Gopal's Contribution} \]
\[ \text{Total Capital Contribution} = 180,000 + 360,000 = 540,000 \text{ capital months} \]

### Step 4: Determine the Profit Sharing Ratio
Now, we find the ratio of Sunil's capital contribution to the total capital contribution:

\[ \text{Profit Sharing Ratio} = \frac{\text{Sunil's Contribution}}{\text{Total Contribution}} = \frac{180,000}{540,000} \]
\[ \text{Profit Sharing Ratio} = \frac{1}{3} \]

### Step 5: Calculate Sunil's Share of the Profit
The total profit is Rs. 60,000. To find Sunil's share, we multiply the total profit by the ratio of his contribution:

\[ \text{Sunil's Share} = \text{Total Profit} \times \text{Profit Sharing Ratio} \]
\[ \text{Sunil's Share} = 60,000 \times \frac{1}{3} = 20,000 \]

### Final Answer
Sunil's share from the total profit of Rs. 60,000 is Rs. 20,000.