SOLUTION: If there was a 30% discount and a 9% sales tax, what was the original price of a car that cost $4815? What was the price after applying the discount of 30%? How much taxes were p

Question 1203634: If there was a 30% discount and a 9% sales tax, what was the original price of a car that cost $4815?
What was the price after applying the discount of 30%?
How much taxes were paid?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
p, the initial listed price for the car
sales tax based on this price p.

Solve that for p.
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
If there was a 30% discount and a 9% sales tax, what was the original price of a car that cost $4815?
What was the price after applying the discount of 30%?
How much taxes were paid?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x be the original price. Then the price after 30% discount is x-0.3x = (1-0.3)x = 0.7x. The general rule is that the sales tax applies to the price after the discount is applied. So, when the 9% tax is applied, the buyer pays 1.09*0.7x = 0.763x. Thus, to find x, you have this equation 0.763x = 4815. From this equation, you get x = = 6310.62 dollars (rounded to the closest cent). Thus, the original price of the car was 6310.62 dollars. After applying the 30% discount, the price was 0.7*6310.62 = 4417.43 dollars (rounded to the closest cent). The tax paid was 9% of $4417.43, or 0.09*4417.43 = 397.57 dollars.

Solved.

I suspect that in this problem, they do not look at cents, at all, and round everything to closest dollar.

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