8. Discount and Profit/Loss Combined

8. Discount and Profit/Loss Combined

Type 1: Calculate profit/loss when discount is applied on marked price.
Example 8: A product is marked at ₹1,000 and sold at $10\%$ discount. The cost price is ₹800. Find the profit or loss percentage.
Solution:
Step 1: Find the selling price:

$$SP = \text{Marked Price} - (\text{Discount\%} \times \text{Marked Price}) = 1000 - \frac{10}{100} \times 1000 = 1000 - 100 = 900$$

Step 2: Compare SP with CP:

$$\text{Profit} = SP - CP = 900 - 800 = 100$$ $$\text{Profit\%} = \frac{\text{Profit}}{\text{CP}} \times 100 = \frac{100}{800} \times 100 = 12.5\%$$

Answer: $12.5\%$

$12.5\%$ Profit