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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 :

ANSWER

[tex]1486.25[/tex]

EXPLANATION

The total (after-tax) cost is $1567

Tax rate is 5.5%

Let the retail ( pre-tax ) price be x

Hence;

[tex]\begin{gathered} x+5.5\%x=1567.99 \\ x+\frac{5.5x}{100}=1567.99 \\ \frac{100x+5.5}{100}=1567.99 \\ \end{gathered}[/tex]

Cross multiply and solve;

[tex]\begin{gathered} \frac{100x+5.5}{100}=1,567.99 \\ 100x+5.5x=156799 \\ 105.5x=156799 \\ x=\frac{156799}{105.5} \\ =1486.245 \end{gathered}[/tex]

Therefore, the retail price of the laptop is $1486.25

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