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:

  1. The original price of an item is 100%.
  2. The first discount is 30%, so the price after this markdown is:
    100%30%=70%100\% - 30\% = 70\%
  3. 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%:
    70%×40%=0.7×0.4=0.28=28%70\% \times 40\% = 0.7 \times 0.4 = 0.28 = 28\%
  4. So, you end up paying 28% of the original price.

Would you like a further breakdown or a different explanation?

Related Questions:

  1. What would be the final price if the original item costs $50?
  2. If an item originally costs $120, how much do you save after both discounts?
  3. What happens if an additional 10% off is applied after the second discount?
  4. How does this compare to a single 70% discount?
  5. 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

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Suitable Grade Level

Grades 6-8