Three partners altogether invested Rs. 1,14,000 in a business. At the end of the year, one got Rs. 337.50, the second Rs. 1,125.00 and the third, Rs. 675 as profit. What is the percentage of profit?

Options

A. `5.8%`
B. `4.8%`
C. `1.8%`
D. `3.8%`

Answer

To find the percentage of profit made by the three partners in their business, we will follow these steps:

### Step 1: Calculate the Total Profit
First, we need to find the total profit earned by all three partners. We can do this by adding the individual profits received by each partner.

- Profit of Partner 1 = Rs. 337.50
- Profit of Partner 2 = Rs. 1,125.00
- Profit of Partner 3 = Rs. 675.00

**Total Profit = Profit of Partner 1 + Profit of Partner 2 + Profit of Partner 3**

Total Profit = Rs. 337.50 + Rs. 1,125.00 + Rs. 675.00
Total Profit = Rs. 2,137.50

### Step 2: Calculate the Total Investment
The total amount invested by the three partners in the business is given as Rs. 1,14,000.

### Step 3: Calculate the Percentage of Profit
The percentage of profit can be calculated using the formula:

\[ \text{Percentage of Profit} = \left( \frac{\text{Total Profit}}{\text{Total Investment}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Percentage of Profit} = \left( \frac{2,137.50}{1,14,000} \right) \times 100 \]

Calculating the fraction:

\[ \text{Percentage of Profit} = \left( 0.01875 \right) \times 100 \]

\[ \text{Percentage of Profit} = 1.875\% \]

### Step 4: Round to the Nearest Decimal
Rounding 1.875% gives us approximately 1.9%. However, since this is not one of the options provided, we will check if we have made any rounding errors or if we need to choose the closest option.

The closest option to 1.875% is **Option 3: 1.8%**.

### Final Answer
The percentage of profit is approximately **1.8%**.

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