Question

The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50

Answer 1

The item when it is costs $50 and there is a 55% item, as the cost would be $22.50

Explanation:

Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.

`N(P)=O-(P*O)`, where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)

First store: Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):

`N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24`

Second store: For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):

`N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50`

Thus, the second store has the better price