The total (after-tax) cost of a laptop computer is $1647.84. The local sales tax rate is 8.5%. What is the retail (pre-tax)
price? The retail (pre-tax) price of the computer is  how much

Let’s denote the retail (pre-tax) price of the laptop as $ P $. The final price after tax is calculated using the formula:

\[
\text{Total Cost} = P + (\text{Tax Rate} \times P)
\]

Given that the total cost after tax is $1647.84 and the tax rate is 8.5%, we can rewrite the equation as:

\[
1647.84 = P + 0.085P
\]

Simplify the equation:

\[
1647.84 = 1.085P
\]

Now, solve for $ P $:

\[
P = \frac{1647.84}{1.085}
\]

Let’s calculate the value of $ P $.The retail (pre-tax) price of the laptop is approximately \$1518.75.

Would you like more details, or do you have any questions? Here are some related questions you might consider:

1. How do you calculate sales tax when the retail price is known?
2. What is the formula to find the total cost including tax?
3. How does changing the tax rate affect the final price?
4. What if the tax was included in a discount price?
5. How can you determine the tax amount paid from the total price?

**Tip:** When dealing with percentages in equations, always convert the percentage to a decimal (e.g., 8.5% becomes 0.085) before performing calculations.

The total (after-tax) cost of a laptop computer is $1647.84. The local sales tax rate is 8.5%. What is the retail (pre-tax) price?

Learn how to calculate the retail (pre-tax) price of a laptop computer when given the total after-tax cost and the local sales tax rate of 8.5%. This problem involves basic algebra and percentage calculations, suitable for students in Grades 6-8.

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