The sales tax on the purchase of a TV-DVD combination is $32.85. If the tax rate is 9%, how do you find the purchase price of the TV-DVD?

Question

Eli Assouline · Accepted Answer

The purchase price was $30.14 rounded to the nearest penny.

The following formula can be used to get a product's total price including sales tax: #T = p + s*p# where #T# is the total price, #p# is the price of the product and #s# is the sales tax percent. Substituting what is provided gives: #32.85 = p + 9%p# #32.85 = p + 0.09p# #32.85 = 1.09p# #32.85/1.09 = (1.09p)/1.09# #p = 30.14# rounded to the nearest penny.

Savannah Anderson · Answer

undefined To find the purchase price of the TV-DVD combination, you divide the sales tax amount by the tax rate (in decimal form) to determine the total purchase price before tax. Then, you subtract the tax amount from the total purchase price to find the original price of the TV-DVD combination.

In this case:
1. Calculate the total purchase price before tax: $32.85 / 0.09 = $365.
2. Subtract the tax amount from the total purchase price: $365 - $32.85 = $332.15.

Therefore, the purchase price of the TV-DVD combination is $332.15.