document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892109>Question 892109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what was the cost price of an article which on being sold at a gain of 7.5% yields rupees 6 more if it was sold at a loss of 12.5% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540283 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=540283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the cost of the article.\r<BR>\n" );
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document.write( "the sale price with a gain of 7.5% is equal to 1.075*x\r<BR>\n" );
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document.write( "the sale price with a loss of 12.5% is equal to .875*x\r<BR>\n" );
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document.write( "your equation is 1.075*x = .875*x + 6\r<BR>\n" );
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document.write( "this means that the sale price with a gain of 7.5% is 6 more than the sale price with a loss of 12.5%.\r<BR>\n" );
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document.write( "solve for x in this equation and you will get x = 30.\r<BR>\n" );
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document.write( "when x = 30, you get:\r<BR>\n" );
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document.write( "1.075 * 30 = 32.25\r<BR>\n" );
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document.write( ".875 * 30 = 26.25\r<BR>\n" );
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document.write( "add 6 to 26.25 and you get 32.25\r<BR>\n" );
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document.write( "1.075 * x was derived as follows:\r<BR>\n" );
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document.write( "x + .075 * x = (1 + .075) * x = 1.075 * x\r<BR>\n" );
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document.write( ".875 * x was derived as follows:\r<BR>\n" );
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document.write( "x - .125 * x = (1 - .125) * x = .875 * x\r<BR>\n" );
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document.write( "the equation of 1.075 * x = .875 * x + 6 was solved as follows:\r<BR>\n" );
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document.write( "subtract .875 * x from both sides of the equation to get:\r<BR>\n" );
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document.write( "1.075 * x - .875 * x = 6\r<BR>\n" );
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document.write( "factor out the x to get:\r<BR>\n" );
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document.write( "(1.075 - .875) * x = 6\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".2 * x = 6\r<BR>\n" );
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document.write( "divide both sides of this equation to get x = 6 / .2\r<BR>\n" );
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document.write( "solve for x to get x = 30.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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