Question

A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $435.42, and the tax rate in the area is 6.2%, what was the pre-tax subtotal?

Answer 1

$410

Explanation:

We can calculate the subtotal pre-tax value using the following equation based on the data in the statement:

`x+(6.2)/(100)x=435.42`

We solve for x:

`\begin{gathered} x+0.062x=435.42 \\ x(1+0.062)=435.42 \\ x=(435.42)/(1.062) \\ x=410 \end{gathered}`

Which means that the pre-tax subtotal was $410