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If the price of a shirt is increased by 25% and then decreased by 20%, what is t

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Question: If the price of a shirt is increased by 25% and then decreased by 20%, what is the final price if the original price was $40?

Options:

  1. $36
  2. $38
  3. $40
  4. $42

Correct Answer: $38

Solution:

New price after increase = 40 + 25% of 40 = 50; New price after decrease = 50 - 20% of 50 = 40.

If the price of a shirt is increased by 25% and then decreased by 20%, what is t

Practice Questions

Q1
If the price of a shirt is increased by 25% and then decreased by 20%, what is the final price if the original price was $40?
  1. $36
  2. $38
  3. $40
  4. $42

Questions & Step-by-Step Solutions

If the price of a shirt is increased by 25% and then decreased by 20%, what is the final price if the original price was $40?
  • Step 1: Start with the original price of the shirt, which is $40.
  • Step 2: Calculate the increase of 25% on the original price. To do this, multiply $40 by 0.25 (which is 25%). This gives you $10.
  • Step 3: Add the increase ($10) to the original price ($40). So, $40 + $10 = $50. This is the new price after the increase.
  • Step 4: Now, calculate the decrease of 20% on the new price ($50). To do this, multiply $50 by 0.20 (which is 20%). This gives you $10.
  • Step 5: Subtract the decrease ($10) from the new price ($50). So, $50 - $10 = $40. This is the final price after the decrease.
  • Percentage Increase and Decrease – Understanding how to calculate the new price after applying a percentage increase followed by a percentage decrease.
  • Order of Operations – Recognizing the importance of performing calculations in the correct sequence.
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