A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?

%

Give your answer accurate to at least one decimal place.

To find out what percent of the original price you end up paying after a 25% markdown and an additional 45% off, we can break it down into two steps:

1. **Step 1: Apply the first discount of 25%.**
   - If an item is marked down by 25%, you are paying 75% of the original price. In decimal form, that's 0.75.

2. **Step 2: Apply the additional 45% discount on the clearance price.**
   - After the first discount, you pay 75% of the original price. Now, there is an additional 45% discount on this price, so you pay 55% of the clearance price (since 100% - 45% = 55%). In decimal form, that's 0.55.

3. **Step 3: Combine the discounts.**
   - The percentage of the original price that you pay is calculated by multiplying the two percentages together:
   \[
   0.75 \times 0.55 = 0.4125
   \]
   - Converting this back to a percentage:
   \[
   0.4125 \times 100 = 41.25\%
   \]

So, you end up paying **41.3%** of the original price (rounded to one decimal place).

Would you like more details or have any other questions?

Here are 5 related questions:
1. What would be the final price of an item originally priced at $100 after these discounts?
2. How much would you save on an item originally priced at $80?
3. What is the effective overall discount percentage you receive?
4. How does this compare to a single discount of 70%?
5. What would happen if the additional discount were 50% instead of 45%?

**Tip:** To combine multiple discounts, multiply the remaining percentages instead of simply adding them.

Learn how to calculate the final price after applying a 25% markdown and an additional 45% discount on clearance items. Understand the step-by-step process involving percentages and discounts. Suitable for students in Grades 6-8.

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