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An item is marked at $120 and is sold at a price after two successive discounts

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Question: An item is marked at $120 and is sold at a price after two successive discounts of 10% and 20%. What is the final selling price?

Options:

  1. $96
  2. $100
  3. $108
  4. $110

Correct Answer: $96

Solution:

First discount = 120 * 10/100 = 12. New price = 120 - 12 = 108. Second discount = 108 * 20/100 = 21.6. Final price = 108 - 21.6 = $86.4.

An item is marked at $120 and is sold at a price after two successive discounts

Practice Questions

Q1
An item is marked at $120 and is sold at a price after two successive discounts of 10% and 20%. What is the final selling price?
  1. $96
  2. $100
  3. $108
  4. $110

Questions & Step-by-Step Solutions

An item is marked at $120 and is sold at a price after two successive discounts of 10% and 20%. What is the final selling price?
  • Step 1: Start with the marked price of the item, which is $120.
  • Step 2: Calculate the first discount of 10% on $120. This is done by multiplying $120 by 10/100, which equals $12.
  • Step 3: Subtract the first discount from the marked price. So, $120 - $12 equals $108. This is the new price after the first discount.
  • Step 4: Now, calculate the second discount of 20% on the new price of $108. This is done by multiplying $108 by 20/100, which equals $21.6.
  • Step 5: Subtract the second discount from the new price. So, $108 - $21.6 equals $86.4. This is the final selling price.
  • Percentage Discounts – Understanding how to apply successive percentage discounts to a marked price.
  • Sequential Calculations – Performing calculations in a step-by-step manner to find the final price after multiple discounts.
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