Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had an original price of $250, but is on sale for $150. Which guitar has a greater percent change in price?
Answer
A
The first guitar has greater percent change of approximately 35%.
B
The second guitar has a greater percent change of approximately 40%.
C
The first guitar has a greater percent change of approximately 54%.
D
The second guitar has a greater percent change of approximately 67%.
Explanation
Percent change is the amount of the price decrease divided by the original price, times 100. The first guitar’s decrease is $60, so its percent decrease is $60 ÷ $160 × 100 = 37.5%. The second guitar’s decrease is $100, so its percent decrease is $100 ÷ $250 × 100 = 40%. Therefore, the second guitar has the greater percent change, approximately 40%.
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