The cost price of 30 articles is equal to the selling price of 25 articles. What is the profit percentage in this transaction?

Options

A. 13%
B. 15%
C. 18%
D. 20%

Answer

To solve the problem, we need to determine the profit percentage based on the given information about the cost price (CP) and selling price (SP) of the articles.

### Step-by-Step Solution:

1. **Understand the Given Information:**
- The cost price of 30 articles is equal to the selling price of 25 articles.

2. **Assign Values:**
- Let the cost price of 30 articles be Rs. 30.
- Therefore, the cost price (CP) of 1 article = Total CP / Number of articles = 30 / 30 = Rs. 1.

3. **Calculate Selling Price of 25 Articles:**
- Since the cost price of 30 articles is Rs. 30, the selling price (SP) of 25 articles is also Rs. 30 (as given in the problem).

4. **Calculate Selling Price of 1 Article:**
- The selling price (SP) of 1 article = Total SP / Number of articles = 30 / 25 = Rs. 1.2.

5. **Calculate Profit:**
- Profit = Selling Price - Cost Price
- Profit = SP of 1 article - CP of 1 article = 1.2 - 1 = Rs. 0.2.

6. **Calculate Profit Percentage:**
- Profit Percentage = (Profit / Cost Price) × 100
- Profit Percentage = (0.2 / 1) × 100 = 20%.

### Final Answer:
The profit percentage in this transaction is **20%**.

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