document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135064>Question 1135064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A property owner listed his property for​ 160% more than he paid for it. The owner eventually accepted an offer 12.5%<BR>\n" );
document.write( " below his asking price and sold the property for ​$191 comma 100. How much did the owner pay for the​ property? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752599 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=752599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he listed the property for 160% more than he paid for it.\r<BR>\n" );
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document.write( "so, if the property cost him x dollars, then he listed it for x + 1.6 * x = 2.6 * x.\r<BR>\n" );
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document.write( "he sold it for 12.5% less than the listed price.\r<BR>\n" );
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document.write( "this means he sold it for 2.6 * x - .125 * 2.6 * x = 2.275 * x.\r<BR>\n" );
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document.write( "since he sold it for 191,100, then 2.275 * x = 191,100.\r<BR>\n" );
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document.write( "solve for x to get x = 191,100 / 2.275 = 84,000.\r<BR>\n" );
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document.write( "to confirm, work your way back up.\r<BR>\n" );
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document.write( "he bought the house for 84,000.\r<BR>\n" );
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document.write( "he listed it for 160% more than he paid for it.\r<BR>\n" );
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document.write( "that means he listed it for 84,000 plus 1.6 * 84,000 = 218,400.\r<BR>\n" );
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document.write( "he eventually sold it for 12.5% less than the list price.\r<BR>\n" );
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document.write( "218,400 minus .125 * 218,400 = 191,100.\r<BR>\n" );
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document.write( "solution checks out ok.\r<BR>\n" );
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document.write( "solution is that the owner paid 84,000 for the property.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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