If the price of an item increases by a%, then its new price will be (100 + a)%
If the price of an item decreases by a%, then its new price will be (100 - a)%
Let the price of the item be 100%
Since it was increased by 20%, then
The new price = (100 + 20)% = 120%
Since this new price was decreased by 5%, then
That means the last price will be (100 - 5)% = 95% of the new price
Last price = 95% of 120%
[tex]\frac{95}{100}\times\frac{120}{100}\times100=114[/tex]The last price is 114% of the original price
Since 114% - 100% = 14%
The total increase is 14%
