document.write( "Question 1203634: If there was a 30% discount and a 9% sales tax, what was the original price of a car that cost $4815?
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Algebra.Com's Answer #839361 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If there was a 30% discount and a 9% sales tax, what was the original price of a car that cost $4815?
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document.write( "Let x be the original price.\r\n" );
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document.write( "Then the price after 30% discount is  x-0.3x = (1-0.3)x = 0.7x.\r\n" );
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document.write( "The general rule is that the sales tax applies to the price after the discount is applied.\r\n" );
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document.write( "So, when the 9% tax is applied, the buyer pays 1.09*0.7x = 0.763x.\r\n" );
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document.write( "Thus, to find x, you have this equation \r\n" );
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document.write( "    0.763x = 4815.\r\n" );
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document.write( "From this equation, you get \r\n" );
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document.write( "    x =  = 6310.62  dollars   (rounded to the closest cent).\r\n" );
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document.write( "Thus, the original price of the car was 6310.62  dollars.\r\n" );
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document.write( "After applying the 30% discount, the price was  0.7*6310.62 = 4417.43 dollars  (rounded to the closest cent).\r\n" );
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document.write( "The tax paid was 9% of $4417.43,  or  0.09*4417.43 = 397.57 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "I suspect that in this problem, they do not look at cents, at all, and round everything to closest dollar.\r
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