Successive discounts of 10% and 20% on ₹1000 give a final price of:

To find the final price after successive discounts, we apply each discount sequentially to the remaining balance. **Step 1: Calculate the price after the first 10% discount.** $$\text{Discount 1} = 10\% \text{ of } ₹1000 = \frac{10}{100} \times 1000 = ₹100$$ $$\text{Price after first discount} = 1000 - 100 = ₹900$$ **Step 2: Calculate the price after the second 20% discount.** Note that the 20% discount is applied to the **new** price of ₹900, not the original ₹1000. $$\text{Discount 2} = 20\% \text{ of } ₹900 = \frac{20}{100} \times 900 = ₹180$$ $$\text{Final Price} = 900 - 180 = ₹720$$ **Alternative Method (Multiplier):** You can multiply the original price by the remaining percentage for each discount: $$\text{Final Price} = 1000 \times (1 - 0.10) \times (1 - 0.20)$$ $$\text{Final Price} = 1000 \times 0.9 \times 0.8 = ₹720$$