Answer:
The original cost of the pair of shoes before tax is $48.95
Step-by-step explanation:
* Lets explain how to solve the problem
- Assume that the cost of the pair of shoes is 100% before taxes
∵ The cost of the pair of shoes is 100% before taxes
∵ The tax is 7.25%
∴ The price of the pair of shoes after tax = 100% + 7.25% = 107.25%
- This 107.25% equivalent to the price of the pair of shoes including
the tax
∵ The cost of the pair of shoes including tax is $52.50
- Lets use the cross multiplication to find the cost of the pair of
shoes before tax
∵ 100% ⇒ 107.25%
? ⇒ 52.50
- ? represents the cost of the pair of shoes before tax
∴ ? = [tex]\frac{100*52.50}{107.25}=48.95[/tex]
∴ The original cost of the pair of shoes before tax is $48.95
