document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145887>Question 1145887</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Misu sheet,owner of the bedspread shop, knows his customer will pay no more than $150 for a comforter. Misu sheet wants to advertise the comforter as percent markup on cost. \r<BR>\n" );
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document.write( "What is the equivalent rate of percent markup on cost compared to the 40% markup on selling price? ( round your answer to the nearest hundreth percent) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767262 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if i understand you correctly, he wants to sell the comforter for $150 which would be 40% off the retail price and he also wants to make 40% profit over the cost.\r<BR>\n" );
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document.write( "if the discount price = 150 and that price needs to be 40% above the cost, then the cost would be determined as follows:\r<BR>\n" );
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document.write( "x = the cost.<BR>\n" );
document.write( "x + .40 * x = the discount price = 150<BR>\n" );
document.write( "that gets you 1.4 * x = 150<BR>\n" );
document.write( "solve for x to get x = 150 / 1.4 = 107.1428571<BR>\n" );
document.write( "the cost would be 107.1428571.\r<BR>\n" );
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document.write( "y = the retail price.<BR>\n" );
document.write( "y - .40 * y = the discount price = 150<BR>\n" );
document.write( "that gets you .6 * y = 150<BR>\n" );
document.write( "solve for y to get y = 250<BR>\n" );
document.write( "the retail price would be 250.\r<BR>\n" );
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document.write( "the cost is equal to 107.1428571<BR>\n" );
document.write( "the retail price is equal to 250.<BR>\n" );
document.write( "the discount price is 150.\r<BR>\n" );
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document.write( "the percent markup of the retail price over the cost would be equal to (250 - 107.1428571) / 107.1428571 = 1.33333..... = 133.3333333%\r<BR>\n" );
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document.write( "here's how it works.\r<BR>\n" );
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document.write( "the cost is 107.1428571.<BR>\n" );
document.write( "the markup on the retail price over the cost is 133.3333333%<BR>\n" );
document.write( "that makes the retail price equal to 107.1428571 + 1.3333333 * 107.1428571 = 250.\r<BR>\n" );
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document.write( "he now wants so sell the comforter at a discount of 40% over the retail price.\r<BR>\n" );
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document.write( "250 - .4 * 250 = 150.\r<BR>\n" );
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document.write( "he advertises the retail price of the comforter at 250.<BR>\n" );
document.write( "he advertises 40% off the retail price which makes the discount price equal to 150.<BR>\n" );
document.write( "the discount price of 150 is 40% above the cost of 107.1428571.\r<BR>\n" );
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document.write( "your solution appears to be:<BR>\n" );
document.write( "the percent markup of the retail price over the cost is 133.33%.<BR>\n" );
document.write( "the percent markup of the discount price over the cost is 40%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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