SOLUTION: Tom bought a computer for 15% off from the list price of p dollars. If the sales tax was 8%, how much did he pay for the computer including sales tax?
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Question 1016820: Tom bought a computer for 15% off from the list price of p dollars. If the sales tax was 8%, how much did he pay for the computer including sales tax? Answer by Theo(13342) (Show Source):
sale price = p - .15 * p = (1 - .15) * p = .85 * p.
tax on sale price = .08 * .85 * p = .068 * p.
total price = sale price + tax on sale price becomes:
total price = .85 * p + .068 * p = (.85 + .068) * p = .918 * p.
he paid .918 * p for the computer.
this price included the tax on the sale price.
for example:
if the list price was 250 dollars, then he paid .918 * 250 = 229.5.
the list price was 250.
the sale price was .85 * 250 = 212.5
the tax on the sale price was .08 * 212.5 = 17
the total price was the sale price plus the tax on the sale price = 212.5 + 17 = 229.5.
