If the price of a book is increased by 20% and then decreased by 20%, what is th

If the price of a book is increased by 20% and then decreased by 20%, what is the net change in the price?

If the price of a book is increased by 20% and then decreased by 20%, what is the net change in the price?

Step 1: Assume the original price of the book 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 change: $96 - $100 = -$4.
Step 6: To find the percentage change, divide the change by the original price: -$4 / $100 = -0.04.
Step 7: Convert to percentage by multiplying by 100: -0.04 × 100 = -4%.

Percentage Increase and Decrease – Understanding how to calculate the effects of successive percentage changes on a value.
Net Change Calculation – Calculating the overall change in value after applying both an increase and a decrease.