Answer:
9%
Explanation:
When the price of an item is increased by a certain percentage and then decreased by the same percentage, the overall percentage change is calculated by using the formula for successive percentage changes.In this case, the price of the TV is increased by 30%, and then the new price is decreased by 30%. To find the overall percentage change, you can use the following formula:
Overall Percentage Change = (1 - Percentage Decrease) - 1] * 100%
In your case:Percentage Increase = 30% = 0.30 (as a decimal)
Percentage Decrease = 30% = 0.30 (as a decimal)
Now, plug these values into the formula:
Overall Percentage Change = [(1 + 0.30) * (1 - 0.30) - 1] * 100%
Overall Percentage Change = [(1.30) * (0.70) - 1] * 100%
Overall Percentage Change = (0.91 - 1) * 100%
Overall Percentage Change = (-0.09) * 100%
Overall Percentage Change = -9%
So, the overall percentage change to the original price of the TV is a decrease of 9%.