document.write( "Question 1133430: What percent above cost price must a dealer mark his goods so that after allowing a discount of 10% for cash he may still gain 35% \n" ); document.write( "

Algebra.Com's Answer #750647 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let C = cost price;\r\n" );
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document.write( "    x= percent above cost price (value under the question).\r\n" );
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document.write( "Then the base equation is\r\n" );
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document.write( "    C*(1 + 0.01x)*0.9 = C*(1 + 0.35).   <<<---=== it is translation of the problem to Math.\r\n" );
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document.write( "Cancel C in both sides to get\r\n" );
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document.write( "    (1 + 0.01x)*0.9 = 1.35.\r\n" );
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document.write( "Then\r\n" );
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document.write( "    1 + 0.01x =  = 1.5  ====>  0.01x = 1.5 - 1 = 0.5  ====>  x =  =  = 50.\r\n" );
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document.write( "ANSWER.  50%.\r\n" );
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