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An item is marked at $120 and is sold at a price of $90 after two successive dis

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Question: An item is marked at $120 and is sold at a price of $90 after two successive discounts of 10% and 15%. What is the total discount percentage?

Options:

  1. 25%
  2. 30%
  3. 35%
  4. 40%

Correct Answer: 35%

Solution: 

First discount = 120 * 10/100 = 12. New price = 120 - 12 = 108. Second discount = 108 * 15/100 = 16.2. Final price = 108 - 16.2 = 91.8. Total discount = 120 - 91.8 = 28.2. Percentage = (28.2/120) * 100 = 23.5%.

An item is marked at $120 and is sold at a price of $90 after two successive dis

Practice Questions

Q1
An item is marked at $120 and is sold at a price of $90 after two successive discounts of 10% and 15%. What is the total discount percentage?
  1. 25%
  2. 30%
  3. 35%
  4. 40%

Questions & Step-by-Step Solutions

An item is marked at $120 and is sold at a price of $90 after two successive discounts of 10% and 15%. What is the total discount percentage?
  • Step 1: Start with the marked price of the item, which is $120.
  • Step 2: Calculate the first discount of 10%. To do this, multiply the marked price by 10% (or 0.10): 120 * 0.10 = $12.
  • Step 3: Subtract the first discount from the marked price to find the new price: 120 - 12 = $108.
  • Step 4: Calculate the second discount of 15% on the new price of $108. Multiply $108 by 15% (or 0.15): 108 * 0.15 = $16.2.
  • Step 5: Subtract the second discount from the new price to find the final price: 108 - 16.2 = $91.8.
  • Step 6: Calculate the total discount by subtracting the final price from the marked price: 120 - 91.8 = $28.2.
  • Step 7: To find the total discount percentage, divide the total discount by the marked price and multiply by 100: (28.2 / 120) * 100 = 23.5%.
  • Percentage Calculation – Understanding how to calculate percentages and apply successive discounts.
  • Successive Discounts – Applying multiple discounts sequentially and understanding their cumulative effect.
  • Final Price Calculation – Determining the final selling price after applying discounts.
  • Total Discount Percentage – Calculating the overall discount percentage based on the original price and final selling price.
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