Math Problem Statement
A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?
Solution
Let's break it down step by step:
- The original price of an item is 100%.
- The first discount is 30%, so the price after this markdown is:
- The store then offers an additional 60% off on the new price (not the original). This means you pay only 40% of the remaining 70%:
- So, you end up paying 28% of the original price.
Would you like a further breakdown or a different explanation?
Related Questions:
- What would be the final price if the original item costs $50?
- If an item originally costs $120, how much do you save after both discounts?
- What happens if an additional 10% off is applied after the second discount?
- How does this compare to a single 70% discount?
- If tax is 8% on the final price, how much do you actually pay?
Tip:
Always apply sequential percentage discounts step by step—do not add them together directly!
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Math Problem Analysis
Mathematical Concepts
Percentages
Discount Calculations
Sequential Percentage Discounts
Formulas
Final price = Original price × (1 - First discount) × (1 - Second discount)
Theorems
-
Suitable Grade Level
Grades 6-8
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