The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

Options

A. A. 16
B. B. 23
C. C. 10
D. D. 20

Explanation

To solve the problem step by step, we will use the information provided in the question regarding the cost price, selling price, and profit percentage.

### Step-by-Step Solution:

1. **Understand the Given Information:**
- Let the cost price (CP) of one article be \( CP = 1 \) rupee (for simplification).
- Therefore, the cost price of 20 articles is \( 20 \times 1 = 20 \) rupees.

2. **Relate Cost Price and Selling Price:**
- The cost price of 20 articles is equal to the selling price (SP) of \( x \) articles.
- Hence, we can write the equation:
\[ SP \text{ of } x \text{ articles} = 20 \text{ rupees} \]

3. **Calculate Selling Price with Profit:**
- Given that the profit is 25%, we can express the selling price in terms of cost price:
\[ SP = CP + \text{Profit} \]
- Profit can be calculated as:
\[ \text{Profit} = 25\% \text{ of } CP = \frac{25}{100} \times CP \]
- Therefore, the selling price can be expressed as:
\[ SP = CP + \frac{25}{100} \times CP = CP \times \left(1 + \frac{25}{100}\right) = CP \times \frac{125}{100} = 1 \times \frac{125}{100} = 1.25 \text{ rupees} \]

4. **Relate Selling Price of x Articles:**
- If the selling price of one article is 1.25 rupees, then the selling price of \( x \) articles is:
\[ SP \text{ of } x \text{ articles} = x \times 1.25 \]

5. **Set Up the Equation:**
- From step 2, we know that:
\[ x \times 1.25 = 20 \]

6. **Solve for x:**
- Rearranging the equation gives:
\[ x = \frac{20}{1.25} \]
- To simplify:
\[ x = \frac{20 \times 100}{125} = \frac{2000}{125} = 16 \]

### Conclusion:
The value of \( x \) is \( 16 \).