A merchant purchases 15 articles in Rs. 140 each and other 10 articles in Rs. 120 each and if he sells each article at Rs. 143, then find the profit percent of merchant.

Options

A. `8.33%`
B. `6.25%`
C. `20%`
D. `12.5%`

Answer

To find the profit percent of the merchant, we will follow these steps:

### Step 1: Calculate the total cost price (CP) of the articles.
- The merchant purchases 15 articles at Rs. 140 each.
- The total cost for these articles is:
\[ 15 \times 140 = 2100 \text{ Rs.} \]
- The merchant also purchases 10 articles at Rs. 120 each.
- The total cost for these articles is:
\[ 10 \times 120 = 1200 \text{ Rs.} \]
- Therefore, the total cost price (CP) is:
\[ CP = 2100 + 1200 = 3300 \text{ Rs.} \]

### Step 2: Calculate the total selling price (SP) of the articles.
- The merchant sells each article at Rs. 143.
- The total number of articles is:
\[ 15 + 10 = 25 \text{ articles.} \]
- Therefore, the total selling price (SP) is:
\[ SP = 25 \times 143 = 3575 \text{ Rs.} \]

### Step 3: Calculate the profit.
- Profit is calculated as:
\[ \text{Profit} = SP - CP \]
- Substituting the values:
\[ \text{Profit} = 3575 - 3300 = 275 \text{ Rs.} \]

### Step 4: Calculate the profit percent.
- The formula for profit percent is:
\[ \text{Profit Percent} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percent} = \left( \frac{275}{3300} \right) \times 100 \approx 8.33\% \]

### Final Answer:
The profit percent of the merchant is approximately **8.33%**.

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