If the price of a book is increased by 20% and then decreased by 20%, what is the net change in price?
Practice Questions
1 question
Q1
If the price of a book is increased by 20% and then decreased by 20%, what is the net change in price?
0%
4%
5%
6%
Let the original price be Rs. 100. After a 20% increase, price = 120. After a 20% decrease, price = 120 - 24 = 96. Net change = (96 - 100)/100 * 100 = -4%.
Questions & Step-by-step Solutions
1 item
Q
Q: If the price of a book is increased by 20% and then decreased by 20%, what is the net change in price?
Solution: Let the original price be Rs. 100. After a 20% increase, price = 120. After a 20% decrease, price = 120 - 24 = 96. Net change = (96 - 100)/100 * 100 = -4%.
Steps: 7
Step 1: Assume the original price of the book is Rs. 100.
Step 2: Calculate the price after a 20% increase. 20% of 100 is 20, so the new price is 100 + 20 = Rs. 120.
Step 3: Calculate the price after a 20% decrease from Rs. 120. 20% of 120 is 24, so the new price is 120 - 24 = Rs. 96.
Step 4: Find the net change in price. The original price was Rs. 100 and the final price is Rs. 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%.
