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 $15\%$.