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

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

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.