document.write( "Question 475475: A dealer bought a car and sold it to Alex at a profit of $2,500. After one year, Alex sold it to Betty at a loss of 6%. If Betty paid $21,150 for the car, find the dealer's percentage profit. \n" ); document.write( "

Algebra.Com's Answer #326047 by Edwin McCravy(20054) $\"\"$ $\"About$

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A dealer bought a car and sold it to Alex at a profit of $2,500. After one year, Alex sold it to Betty at a loss of 6%. If Betty paid $21,150 for the car, find the dealer's percentage profit.
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document.write( "Let x = what the dealer paid for the car.\r\n" );
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document.write( "Alex paid x + 2500 for the car\r\n" );
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document.write( "Since Alex lost 6%, he sold the car to Betty for only\r\n" );
document.write( "100% - 6% or 94% of what Alex paid the dealer.\r\n" );
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document.write( "IOW, Betty paid Alex only 94% of what Alex paid the dealer for it.\r\n" );
document.write( "So\r\n" );
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document.write( "94% of what Alex paid the dealer = what Betty paid Alex\r\n" );
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document.write( "                   .94(x + 2500) = 21150\r\n" );
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document.write( "Solve that and get $20000, which is what the dealer paid for the car.\r\n" );
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document.write( "To find the dealer's percentage profit, the question is:\r\n" );
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document.write( "What percent of $20000 is $2500?\r\n" );
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document.write( "Let p = the percent profit the dealer made, expressed as a decimal.\r\n" );
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document.write( "                  20000p = 2500\r\n" );
document.write( "                       p = 2500/20000\r\n" );
document.write( "                       p = .125 or 12.5%\r\n" );
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document.write( "Edwin

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