Final answer:
By setting the cost price equivalent to the selling price in terms of articles and calculating the selling price of one article, the profit per article can be determined. Dividing profit per article by the cost price and multiplying by 100 gives a profit percent of 66.66%.
Step-by-step explanation:
The question involves calculating the profit percent in a business-related mathematics problem. Let’s assume the cost price (CP) of one article is x. Then, the cost price of 25 articles is 25x, which is also the selling price (SP) of 15 articles.
So, SP of 15 articles = 25x. Therefore, SP of one article = 25x/15 = 5x/3. To find the profit, subtract the cost price from the selling price per article (5x/3 - x = 2x/3). The profit percent is the profit per article divided by the cost price per article, multiplied by 100.
Profit percent = (Profit per article / CP per article) × 100 = (2x/3) / x × 100 = 66.66%. Therefore, the correct answer is c. 66.66%.