The cost price of 20 articles is same as the selling price of 16 articles. Find the gain percent.

Answer

To solve the problem, we need to find the gain percentage based on the information given about the cost price and selling price of articles. Let's break it down step by step.

### Step 1: Understand the relationship between cost price and selling price.
We know from the problem statement that the cost price (CP) of 20 articles is equal to the selling price (SP) of 16 articles.

### Step 2: Assign a value to the cost price of one article.
For simplicity, let's assume the cost price of one article is 1 rupee. Therefore:
- Cost Price of 20 articles = 20 articles × 1 rupee/article = 20 rupees.

### Step 3: Calculate the selling price of 16 articles.
Since the cost price of 20 articles is equal to the selling price of 16 articles, we have:
- Selling Price of 16 articles = Cost Price of 20 articles = 20 rupees.

### Step 4: Calculate the selling price of one article.
To find the selling price of one article, we can divide the total selling price of 16 articles by the number of articles:
- Selling Price of 1 article = Selling Price of 16 articles / 16 articles = 20 rupees / 16 articles = 1.25 rupees/article.

### Step 5: Calculate the gain per article.
Now, we can find the gain per article by subtracting the cost price from the selling price:
- Gain = Selling Price - Cost Price = 1.25 rupees - 1 rupee = 0.25 rupees.

### Step 6: Calculate the gain percentage.
The gain percentage can be calculated using the formula:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Gain Percentage} = \left( \frac{0.25}{1} \right) \times 100 = 25\% \]

### Final Answer:
The gain percentage is 25%.

---