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:

Let's solve this step by step:

Step 1: Understand the problem The problem states that the cost price of 20 articles is the same as the selling price of x articles. This means that for every x articles sold, the seller makes a profit equivalent to the cost price of 20 - x articles. The profit percentage is given as 25%.

Step 2: Formulate the equation We know that profit is calculated as selling price - cost price. Since the selling price of x articles is the same as the cost price of 20 articles, we can write the equation as:

Selling price of x articles = Cost price of 20 articles

Step 3: Calculate the profit The profit is given as 25% of the cost price. Since the cost price of 20 articles is the same as the selling price of x articles, we can write the profit as:

Profit = 25/100 * Cost price of 20 articles

Step 4: Substitute the profit in the equation Substituting the profit in the equation, we get:

Selling price of x articles = Cost price of 20 articles + Profit Selling price of x articles = Cost price of 20 articles + 25/100 * Cost price of 20 articles Selling price of x articles = 1.25 * Cost price of 20 articles

Step 5: Solve for x Since the selling price of x articles is the same as the cost price of 20 articles, we can equate the two and solve for x:

1.25 * Cost price of 20 articles = Cost price of 20 articles 1.25 = x/20

Solving for x, we get x = 20 * 1.25 = 25

So, the value of x is 25.