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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



<pre>
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 = {{{4815/0.763}}} = 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.
</pre>

Solved.


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