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A pair of shoes is marked at $120. If a 10% discount is followed by a 5% discoun

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Question: A pair of shoes is marked at $120. If a 10% discount is followed by a 5% discount, what is the final price?

Options:

  1. $108
  2. $114
  3. $115
  4. $110

Correct Answer: $108

Solution:

First discount: 120 - (10/100 * 120) = 120 - 12 = $108. Second discount: 108 - (5/100 * 108) = 108 - 5.4 = $102.6.

A pair of shoes is marked at $120. If a 10% discount is followed by a 5% discoun

Practice Questions

Q1
A pair of shoes is marked at $120. If a 10% discount is followed by a 5% discount, what is the final price?
  1. $108
  2. $114
  3. $115
  4. $110

Questions & Step-by-Step Solutions

A pair of shoes is marked at $120. If a 10% discount is followed by a 5% discount, what is the final price?
  • Step 1: Start with the original price of the shoes, which is $120.
  • Step 2: Calculate the first discount of 10%. To do this, multiply 120 by 10% (or 0.10). This gives you 120 * 0.10 = $12.
  • Step 3: Subtract the first discount from the original price. So, $120 - $12 = $108. This is the price after the first discount.
  • Step 4: Now, calculate the second discount of 5% on the new price of $108. Multiply 108 by 5% (or 0.05). This gives you 108 * 0.05 = $5.4.
  • Step 5: Subtract the second discount from the price after the first discount. So, $108 - $5.4 = $102.6. This is the final price of the shoes.
  • Percentage Calculation – Understanding how to calculate discounts as percentages of a given price.
  • Sequential Discounts – Applying multiple discounts in succession rather than as a single discount.
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