document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097762>Question 1097762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A trader made a profit of 50% on merchandise that he sold for R10000 calculate the original total price of the goods  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712180 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=712180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he sells it for 10,000.<BR>\n" );
document.write( "his percent profit is 50%.\r<BR>\n" );
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document.write( "profit equals selling price minus cost.<BR>\n" );
document.write( "profit rate equals profit / cost.<BR>\n" );
document.write( "profit percent equals profit rate * 100%.\r<BR>\n" );
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document.write( "let c represent his cost.<BR>\n" );
document.write( "let s represent his selling price.<BR>\n" );
document.write( "let p represent his profit.\r<BR>\n" );
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document.write( "the equation for profit is p = s - c.\r<BR>\n" );
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document.write( "you know his selling price is 10,000, so the equation becomes p = 10,000 - c.\r<BR>\n" );
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document.write( "profit rate is equal to p / c.\r<BR>\n" );
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document.write( "since p = 10,000 - c, then the equation for profit rate becomes p = (10,000 - c) / c\r<BR>\n" );
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document.write( "since profit percent = 50%, then profit rate = 50% / 100% = .5.\r<BR>\n" );
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document.write( "the equation of p = (10,000 - c) / c becomes .5 = (10,000 - c) / c\r<BR>\n" );
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document.write( "multiply both sides of this equation by c to get .5 * c = 10,000 - c.\r<BR>\n" );
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document.write( "add c to both sides of this equation to get 1.5 * c = 10,000.\r<BR>\n" );
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document.write( "divide both sides of this equation by 1.5 to get c = 10,000 / 1.5.\r<BR>\n" );
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document.write( "solve for c to get c = 6666.67 rounded to two decimal places.\r<BR>\n" );
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document.write( "that's the cost.\r<BR>\n" );
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document.write( "possibly a simpler way of looking at this would be:\r<BR>\n" );
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document.write( "x is the cost.<BR>\n" );
document.write( "profit is 50% of the cost which is equal to .5 * x.<BR>\n" );
document.write( "x + .5 * x = 10,000<BR>\n" );
document.write( "this results in 1.5 * x = 10,000.<BR>\n" );
document.write( "solve for x to get x = 10,000 / x = 6666.67 rounded to two decimal places.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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