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A bicycle is marked at $300. If it is sold for $240 after two successive discoun

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Question: A bicycle is marked at $300. If it is sold for $240 after two successive discounts of 10% and 20%, what is the total discount percentage?

Options:

  1. 20%
  2. 25%
  3. 30%
  4. 35%

Correct Answer: 30%

Solution: 

First discount = 300 * 10/100 = 30. New price = 300 - 30 = 270. Second discount = 270 * 20/100 = 54. Final price = 270 - 54 = 216. Total discount = 300 - 216 = 84. Percentage = (84/300) * 100 = 28%.

A bicycle is marked at $300. If it is sold for $240 after two successive discoun

Practice Questions

Q1
A bicycle is marked at $300. If it is sold for $240 after two successive discounts of 10% and 20%, what is the total discount percentage?
  1. 20%
  2. 25%
  3. 30%
  4. 35%

Questions & Step-by-Step Solutions

A bicycle is marked at $300. If it is sold for $240 after two successive discounts of 10% and 20%, what is the total discount percentage?
  • Step 1: Start with the marked price of the bicycle, which is $300.
  • Step 2: Calculate the first discount of 10%. This is done by multiplying the marked price by 10% (or 0.10). So, 300 * 0.10 = $30.
  • Step 3: Subtract the first discount from the marked price. So, $300 - $30 = $270. This is the new price after the first discount.
  • Step 4: Calculate the second discount of 20% on the new price of $270. This is done by multiplying $270 by 20% (or 0.20). So, 270 * 0.20 = $54.
  • Step 5: Subtract the second discount from the new price. So, $270 - $54 = $216. This is the final selling price after both discounts.
  • Step 6: Calculate the total discount amount. This is done by subtracting the final selling price from the marked price. So, $300 - $216 = $84.
  • Step 7: Calculate the total discount percentage. This is done by dividing the total discount amount by the marked price and then multiplying by 100. So, (84 / 300) * 100 = 28%.
  • Percentage Calculation – Understanding how to calculate percentages and apply successive discounts.
  • Discount Application – Applying multiple discounts sequentially and understanding their cumulative effect.
  • Final Price Calculation – Calculating the final selling price after applying discounts.
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