A shopkeeper sold 25 articles in such a way that he gets a profit which is equal to the selling price of 5 articles. Find his profit percent?

Options

A. `20% `
B. `30% `
C. `25% `
D. `18% `

Answer

To solve the problem step by step, let's denote the selling price (SP) of each article and calculate the profit percent based on the information provided.

### Step 1: Define the Selling Price
Let the selling price of each article be \( SP = 1 \) (in rupees).

### Step 2: Calculate Total Selling Price
The shopkeeper sold 25 articles. Therefore, the total selling price (TSP) can be calculated as:
\[ TSP = 25 \times SP = 25 \times 1 = 25 \text{ rupees} \]

### Step 3: Determine the Profit
According to the problem, the profit is equal to the selling price of 5 articles. Thus:
\[ \text{Profit} = SP \times 5 = 1 \times 5 = 5 \text{ rupees} \]

### Step 4: Calculate Cost Price
The cost price (CP) can be calculated using the formula:
\[ CP = TSP - \text{Profit} \]
Substituting the values we have:
\[ CP = 25 - 5 = 20 \text{ rupees} \]

### Step 5: Calculate Profit Percent
Profit percent can be calculated using the formula:
\[ \text{Profit Percent} = \left( \frac{\text{Profit}}{CP} \right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percent} = \left( \frac{5}{20} \right) \times 100 = 25\% \]

### Final Answer
The profit percent is \( 25\% \).

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