A shopkeeper purchased 245 pieces of an article at Rs30 per piece. He spent Rs980 on transport and Rs1470 on packing the articles. He sold the articles at the rate of Rs50 per piece. What is the percent profit earned?

Options

A. `25%`
B. `20%`
C. `28%`
D. `22.5%`

Answer

To solve the problem step by step, we will calculate the total cost price, total selling price, and then determine the profit and percent profit earned.

### Step 1: Calculate the Total Cost Price (CP)
The total cost price includes the cost of the articles, transportation costs, and packing costs.

1. **Cost of articles**:
\[ \text{Cost of articles} = \text{Number of pieces} \times \text{Cost per piece} = 245 \times 30 \]
\[ = 7350 \text{ Rs} \]

2. **Transportation cost**:
\[ = 980 \text{ Rs} \]

3. **Packing cost**:
\[ = 1470 \text{ Rs} \]

4. **Total Cost Price (CP)**:
\[ \text{Total CP} = \text{Cost of articles} + \text{Transportation cost} + \text{Packing cost} \]
\[ = 7350 + 980 + 1470 = 9800 \text{ Rs} \]

### Step 2: Calculate the Total Selling Price (SP)
The total selling price is calculated by multiplying the number of pieces sold by the selling price per piece.

1. **Selling price per piece**:
\[ = 50 \text{ Rs} \]

2. **Total Selling Price (SP)**:
\[ \text{Total SP} = \text{Number of pieces} \times \text{Selling price per piece} = 245 \times 50 \]
\[ = 12250 \text{ Rs} \]

### Step 3: Calculate the Profit
Profit is calculated by subtracting the total cost price from the total selling price.

1. **Profit**:
\[ \text{Profit} = \text{Total SP} - \text{Total CP} = 12250 - 9800 \]
\[ = 2450 \text{ Rs} \]

### Step 4: Calculate the Percent Profit
Percent profit is calculated using the formula:
\[ \text{Percent Profit} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 \]

1. **Percent Profit**:
\[ = \left( \frac{2450}{9800} \right) \times 100 \]
\[ = 25\% \]

### Final Answer
The percent profit earned by the shopkeeper is **25%**.

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