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If the price of a book is increased by 10% and then decreased by 10%, what is th

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Question: If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?

Options:

  1. 0%
  2. 1%
  3. 2%
  4. 3%

Correct Answer: 0%

Solution: 

Let the original price be $100. After a 10% increase, the price becomes $110. After a 10% decrease, the price becomes $110 - $11 = $99. The net change is -1%, so the answer is 0%.

If the price of a book is increased by 10% and then decreased by 10%, what is th

Practice Questions

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

Questions & Step-by-Step Solutions

If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?
  • Step 1: Assume the original price of the book is $100.
  • Step 2: Calculate the price after a 10% increase. 10% of $100 is $10, so the new price is $100 + $10 = $110.
  • Step 3: Calculate the price after a 10% decrease from the new price of $110. 10% of $110 is $11, so the new price is $110 - $11 = $99.
  • Step 4: Find the net change in price. The original price was $100 and the final price is $99. The change is $99 - $100 = -$1.
  • Step 5: Calculate the percentage change. The net change is -$1 from the original $100, which is -1%.
  • Step 6: Conclude that the net change in price is -1%.
  • Percentage Increase and Decrease – Understanding how to calculate the effects of successive percentage changes on a value.
  • Net Change Calculation – Determining the overall effect on a value after applying multiple percentage changes.
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