document.write( "Question 1208330: Hi
\n" ); document.write( "If Bob sells a TV at a discount of 15% of the marked price he will make a profit of $135. If he sells at a discount of 25% of marked price he makes a loss of $65. What is the cost price of the TV. \n" ); document.write( "
Algebra.Com's Answer #846937 by MathTherapy(10552)\"\" \"About 
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document.write( "Hi\r\n" );
document.write( "If Bob sells a TV at a discount of 15% of the marked price he will make a profit of $135. If he sells\r\n" );
document.write( "at a discount of 25% of marked price he makes a loss of $65. What is the cost price of the TV. \r\n" );
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document.write( "Let marked price be P, and cost price, C\r\n" );
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document.write( "A discount of 15% off of the marked price means that it'd be sold for 100% - 15% = 85% of the marked price, or .85P\r\n" );
document.write( "Since a discount of 15% off of the marked price yields a PROFIT of $135, we get: .85P = C + 135 ----- eq (i)\r\n" );
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document.write( "A discount of 25% off of the marked price means that it'd be sold for 100% - 25% = 75% of the marked price, or .75P\r\n" );
document.write( "Since a discount of 25% off of the marked price yields a LOSS of $65, we get: .75P = C - 65 ------ eq (ii)\r\n" );
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document.write( "               .85P = C + 135 ----- eq (i)\r\n" );
document.write( "               .75P = C - 65 ------ eq (ii)\r\n" );
document.write( "                .1P = 200 ----- Subtracting eq (ii) from eq (i) \r\n" );
document.write( "Marked price, or \r\n" );
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document.write( "         .75(2,000) = C - 65 ----- Substituting 2,000 for P in eq (ii)\r\n" );
document.write( "              1,500 = C - 65\r\n" );
document.write( "         1,500 + 65 = C \r\n" );
document.write( "            $1,565 = C (Cost)
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