Question

A TV is increased in price by 8% and then decreased by 11% what is the overall percentage change?

Answer 1

To calculate the overall percentage change, find the difference between the initial and final price, and divide that by the initial price. The overall percentage change is a decrease of 3.88%.

Step-by-step explanation:

To calculate the overall percentage change, we need to find the difference between the initial price and the final price, and then divide that difference by the initial price.

1. The initial price is increased by 8%, so the new price is 100 + 8% of 100 = 108.
2. The new price is then decreased by 11%, so the final price is 108 - 11% of 108 = 108 - 11.88 = 96.12.
3. The difference between the initial price and the final price is 100 - 96.12 = 3.88.
4. To find the overall percentage change, we divide the difference by the initial price: (3.88 / 100) * 100 = 3.88%.

Therefore, the overall percentage change is a decrease of 3.88%.