document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999708>Question 999708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular style of sunglasses costs the retailer <BR>\n" );
document.write( "$70 per pair.  At what price should the retailer mark them so he can sell them at a 10% discount off the selling price and still make 35% profit on his cost?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617276 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=617276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cost = 70<BR>\n" );
document.write( "he wants to make 35% profit on the cost.<BR>\n" );
document.write( "this means he needs to sell them at 70 + .35 * 70 = 94.5 per pair.\r<BR>\n" );
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document.write( "if he wants to mark them so that 94.5 is the price after a 10% discount, then he needs to do the following:\r<BR>\n" );
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document.write( "let x = the markup price.\r<BR>\n" );
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document.write( "x - .10*x = 94.5\r<BR>\n" );
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document.write( "simplify to get .90 * x = 94.5\r<BR>\n" );
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document.write( "divide both sides of this equation by .9 to get:\r<BR>\n" );
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document.write( "x = 94.5 / .9 = 105.\r<BR>\n" );
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document.write( "he needs to mark them up to 105.\r<BR>\n" );
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document.write( "he then sells them at a 10% discount for .90 * 105 = 94.5\r<BR>\n" );
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document.write( "when he sell them at 94.5, his profit margin is (94.5 - 70) / 70 = 24.5 / 70 = .35 which is the same as 35%.\r<BR>\n" );
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