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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?

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Solution

No, the final price is not the same as the original price. Here's why:

  1. Let's assume the original price of the laptop is $100 for simplicity.
  2. After a 10% increase, the price becomes 100+100 + 10 = $110.
  3. Then, a 10% decrease is applied to the 110,whichis110, which is 110 - 11=11 = 99.
  4. So, the final price is 99,not99, not 100.

The percentage change from the original price is calculated as follows:

  1. The difference between the final price and the original price is 9999 - 100 = -$1.
  2. To find the percentage change, divide the difference by the original price and multiply by 100: (-1/1 / 100) * 100 = -1%.

So, the final price of the laptop is 1% less than the original price.

This problem has been solved

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