document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752253>Question 752253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good Morning,\r<BR>\n" );
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document.write( "I have a mark-up problem that is haunting me. Could you please show me how to set it up correctly?  I can't seem to figure it out.  Here it is:\r<BR>\n" );
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document.write( "A pair of shoes costs the retailer $85 per pair.  At what price should the retailer mark them so he can sell them at a 15% disoount off the selling price and still make a 20% profit on his cost?\r<BR>\n" );
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document.write( "My brain is frozen on this.\r<BR>\n" );
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document.write( "Thank you in advance for your help.\r<BR>\n" );
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document.write( "Kindest regards,<BR>\n" );
document.write( "Michelle Dean </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457650 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= marked \"original\" price (in $)<BR>\n" );
document.write( "discounted price = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-0.15x=0.85x ALIGN=MIDDLE  ALT=\"x-0.15x=0.85x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The profit would be the discounted price minus the cost,<BR>\n" );
document.write( "profit =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85x-85 ALIGN=MIDDLE  ALT=\"0.85x-85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As a percentage of the $85 cost, the profit would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.85x-85%29%2F85 ALIGN=MIDDLE  ALT=\"%280.85x-85%29%2F85\"   DISABLED_style= \"max-width:90%; height:auto;\" >x100%=20% or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.85x-85%29%2F85=0.20 ALIGN=MIDDLE  ALT=\"%280.85x-85%29%2F85=0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85x-85=0.20%2A85 ALIGN=MIDDLE  ALT=\"0.85x-85=0.20%2A85\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85x-85=17 ALIGN=MIDDLE  ALT=\"0.85x-85=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85x=85%2B17 ALIGN=MIDDLE  ALT=\"0.85x=85%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.85x=102 ALIGN=MIDDLE  ALT=\"0.85x=102\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=102%2F0.85 ALIGN=MIDDLE  ALT=\"x=102%2F0.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=120%29 ALIGN=MIDDLE  ALT=\"highlight%28x=120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The retailer should mark the original price as $120.<BR>\n" );
document.write( "The customer would get a 15% discount, which would reduce the price by $18, to $102.<BR>\n" );
document.write( "Selling the shoes at $102, the retailer would have a profit of<BR>\n" );
document.write( "$102 - $85 = $17, and that $17 is 20% of the $85 cost. </SPAN>\n" );
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