An item is discounted by 30% and then a further discount of 20% is applied to the
reduced price.
What is the total percentage discount

To calculate the total percentage discount when two successive discounts are applied, we can follow these steps:

1. Let the original price be \( P \).
2. Apply the first discount of 30%:  
   The new price after the first discount is \( P - 0.30P = 0.70P \).
3. Apply the second discount of 20% to the new price:  
   The price after the second discount is \( 0.70P - 0.20(0.70P) = 0.70P \times 0.80 = 0.56P \).

Thus, the final price is 56% of the original price, meaning that the total percentage discount is:

\[
100\% - 56\% = 44\%
\]

So, the total percentage discount is **44%**.

Would you like more details or have any questions about this? Here are five related questions you might find interesting:

1. How do successive discounts affect the final price in general?
2. What happens if both discounts are 50% each? What would the total discount be?
3. How would the total discount change if the first discount was 40% and the second was 10%?
4. Can you express successive percentage discounts using a single formula?
5. How would the result change if a third discount of 10% was applied after the second discount?

**Tip:** When calculating successive percentage discounts, always apply each discount to the reduced price, not the original one.

An item is discounted by 30% and then a further discount of 20% is applied to the reduced price. What is the total percentage discount?

Learn how to calculate the total percentage discount when two successive discounts of 30% and 20% are applied to an item's price. This problem explains key concepts like percentage calculations and successive discounts, suitable for students in Grades 6-8.

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