If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?
Practice Questions
1 question
Q1
If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?
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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%.
Questions & Step-by-step Solutions
1 item
Q
Q: If the price of a book is increased by 10% and then decreased by 10%, what is the net change in price?
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%.
Steps: 6
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%.
