document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097506>Question 1097506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A buys an article and sells it to B at the profit of 12%.B sells it back to A at price which A previously paid for it.What is B's percentage loss ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711947 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=711947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the selling price is greater than the cost, then subtract the cost from the selling price and that's your profit.\r<BR>\n" );
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document.write( "if the selling price is less than the cost, then subtract the selling price from the cost and that's your loss.\r<BR>\n" );
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document.write( "your percent profit is equal to 100 times your profit divided by your cost.\r<BR>\n" );
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document.write( "your percent loss is equal to 100 times your loss divided by your cost.\r<BR>\n" );
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document.write( "in your problem:\r<BR>\n" );
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document.write( "let the cost to A be equal to x.\r<BR>\n" );
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document.write( "A sells it to B at a 12% profit.\r<BR>\n" );
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document.write( "the profit to A therefore has to be .12 * x and the selling price to B has to be equal to 1.12 * x.\r<BR>\n" );
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document.write( "the cost to B is therefore 1.12 * x.\r<BR>\n" );
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document.write( "B sells it back to A at a selling price of x, which is the original cost to A.\r<BR>\n" );
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document.write( "the loss to B is therefore .12 * x.\r<BR>\n" );
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document.write( "the loss to B is the same as the profit to A.\r<BR>\n" );
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document.write( "however, ........\r<BR>\n" );
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document.write( "the percent profit to A is profit / cost = .12 * x / x = .12 = 12%.\r<BR>\n" );
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document.write( "the percent loss to B is loss / cost = .12 * x / (1.12 * x) = .12 / 1.12 = 10.71%.\r<BR>\n" );
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document.write( "the loss to B is the same as the profit to A, but the percent loss to B is different from the percent profit to A because the denominator in the equation is different.\r<BR>\n" );
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document.write( "that's because the cost to A was x while the cost to B was 1.12 * x.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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