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

Practice Questions

Q1
If the price of a shirt is increased by 20% and then decreased by 20%, what is the net change in the price of the shirt?
  1. 0%
  2. 4%
  3. 8%
  4. 10%

Questions & Step-by-Step Solutions

If the price of a shirt is increased by 20% and then decreased by 20%, what is the net change in the price of the shirt?
  • Step 1: Assume the original price of the shirt is 100.
  • Step 2: Calculate the price after a 20% increase. 20% of 100 is 20, so the new price is 100 + 20 = 120.
  • Step 3: Calculate the price after a 20% decrease from the new price of 120. 20% of 120 is 24, so the new price is 120 - 24 = 96.
  • Step 4: Find the net change in price. The original price was 100, and the final price is 96.
  • Step 5: Calculate the net change percentage using the formula: (final price - original price) / original price * 100%. So, (96 - 100) / 100 * 100% = -4%.
  • Percentage Change – Understanding how to calculate percentage increases and decreases.
  • Net Change Calculation – Determining the overall effect of sequential percentage changes on a value.
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