1. **Problem statement:** Calculate the profit percentage when an article costing 612 is sold at a marked price of 1275 with a 28% discount. 2. **Formula used:** Profit percentage = $$\frac{\text{Profit}}{\text{Cost Price}} \times 100$$ where Profit = Selling Price - Cost Price. 3. **Calculate the selling price:** Discount = 28% of 1275 = $$0.28 \times 1275 = 357$$ Selling Price = Marked Price - Discount = $$1275 - 357 = 918$$ 4. **Calculate the profit:** Profit = Selling Price - Cost Price = $$918 - 612 = 306$$ 5. **Calculate the profit percentage:** Profit percentage = $$\frac{306}{612} \times 100 = 50\%$$ **Final answer:** The profit percentage is 50%.