The price of a laptop is increased by 10% and then decreased by 10%. Is the final price the same as the original price? If not, what is the percentage change from the original price?
Question
The price of a laptop is increased by 10% and then decreased by 10%. Is the final price the same as the original price? If not, what is the percentage change from the original price?
Solution
No, the final price is not the same as the original price. Here's why:
- Let's assume the original price of the laptop is $100 for simplicity.
- After a 10% increase, the price becomes 10 = $110.
- Then, a 10% decrease is applied to the 110 - 99.
- So, the final price is 100.
The percentage change from the original price is calculated as follows:
- The difference between the final price and the original price is 100 = -$1.
- To find the percentage change, divide the difference by the original price and multiply by 100: (-100) * 100 = -1%.
So, the final price of the laptop is 1% less than the original price.
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