Subjects algebra

Profit Percentage Fffe63

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Question: A shopkeeper buys an item for Tk. 800 and sells it for Tk. 920. Profit percentage = ?
1. **State the problem:** A shopkeeper buys an item for Tk. 800 and sells it for Tk. 920. We need to find the profit percentage. 2. **Formula used:** Profit percentage is given by: $$\text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100$$ where $$\text{Profit} = \text{Selling Price} - \text{Cost Price}$$ 3. **Calculate the profit:** $$\text{Profit} = 920 - 800 = 120$$ 4. **Calculate the profit percentage:** $$\text{Profit Percentage} = \left(\frac{120}{800}\right) \times 100$$ 5. **Simplify the fraction:** $$\text{Profit Percentage} = \left(\frac{\cancel{120}}{\cancel{800}}\right) \times 100 = \frac{3}{20} \times 100$$ 6. **Calculate the final value:** $$\text{Profit Percentage} = 15\%$$ **Final answer:** The profit percentage is $15\%$.