The selling price of 12 articles is equal to the cost price of 15 articles. Find the gain percent?

Answer

To find the gain percent when the selling price of 12 articles is equal to the cost price of 15 articles, we can follow these steps:

### Step-by-Step Solution:

1. **Let the Cost Price (CP) of One Article be 100 Rupees:**
- Assume the cost price of one article is ₹100 for simplicity.

2. **Calculate the Cost Price of 15 Articles:**
- Cost Price of 15 articles = 15 articles × Cost Price of one article
- CP of 15 articles = 15 × 100 = ₹1500

3. **Understand the Selling Price (SP) of 12 Articles:**
- According to the problem, the selling price of 12 articles is equal to the cost price of 15 articles.
- Therefore, SP of 12 articles = ₹1500.

4. **Calculate the Selling Price of One Article:**
- Selling Price of one article = Selling Price of 12 articles ÷ 12
- SP of one article = 1500 ÷ 12 = ₹125.

5. **Calculate the Profit:**
- Profit = Selling Price of one article - Cost Price of one article
- Profit = 125 - 100 = ₹25.

6. **Calculate the Gain Percent:**
- Gain Percent = (Profit ÷ Cost Price) × 100
- Gain Percent = (25 ÷ 100) × 100 = 25%.

### Final Answer:
The gain percent is **25%**.