The selling price of x articles is the same as the cost price of 12 articles. If the profit is 20%, then what is the value of x?

Sure, let's solve this step by step:

Step 1: Understand the problem The problem states that the selling price of x articles is the same as the cost price of 12 articles. This means that when x articles are sold, the cost of 12 articles is recovered. The profit is given as 20%.

Step 2: Set up the equation We know that profit is calculated as (Selling Price - Cost Price). In this case, the selling price of x articles is equal to the cost price of 12 articles. So, we can set up the equation as follows:

Selling Price of x articles = Cost Price of 12 articles

Step 3: Calculate the value of x We know that the profit is 20%. This means that the selling price is 120% of the cost price. So, we can set up the equation as follows:

120/100 * Cost Price of x articles = Cost Price of 12 articles

Solving for x, we get:

x = 12 * (100 / 120) x = 10

So, the value of x is 10. This means that the selling price of 10 articles is the same as the cost price of 12 articles.