The price of the vehicle we bought was $14,500. It was a used vehicle. We were given $2,500 trade in for my vehicle. That brought the price of the vehicle we bought down to $12,000. When I went to registar it they told me the tax I had to pay was on $14,500. I had to pay tax on $14,500. I was not happy and told her she was ripping me off and she said that in MI you have to pay tax on the sticker price. That was about 5 years ago.
No, the price you paid and your method of payment are two different things. The price of the vehicle is $14,500. That's what you paid for it...$14,500. Taxable
Your method of payment was a trade for $2500, and cash for $12,000. Whether you are paying with goats, chickens, drugs, gold, cash, or whiskey, the price of the car is $14,500
$12,000 + $2500=$14,500 which is the price of the car.
In accounting terms, the dealer booked a sale for $14,500, and received payment of $12,000 cash, and an asset valued at $2500 as payment for your purchase.