Question

The total (after-tax) cost of a laptop computer is $1567.99. The local sales tax rate is 5.5%. What is the retail (pre-tax) price?The retail (pre-tax) price of the computer is s(Simplify your answer. Round to the nearest cent as needed.)

Answer 1

`1486.25`

Step-by-step explanation

The total (after-tax) cost is $1567

Tax rate is 5.5%

Let the retail ( pre-tax ) price be x

Hence;

`\begin{gathered} x+5.5\%x=1567.99 \\ x+(5.5x)/(100)=1567.99 \\ (100x+5.5)/(100)=1567.99 \\ \end{gathered}`

Cross multiply and solve;

`\begin{gathered} (100x+5.5)/(100)=1,567.99 \\ 100x+5.5x=156799 \\ 105.5x=156799 \\ x=(156799)/(105.5) \\ =1486.245 \end{gathered}`

Therefore, the retail price of the laptop is $1486.25