document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143323>Question 1143323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Even after giving a discount of 12%, an article was<BR>\n" );
document.write( "sold at a profit of 10%. By what percentage the marked<BR>\n" );
document.write( "price was more than the cost price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764114 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=764114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the marked up price.<BR>\n" );
document.write( "the sale price is 12% off of marked up price = x = .12 * x = .88 * x.<BR>\n" );
document.write( "the profit is 10% of the cost.<BR>\n" );
document.write( "let p = the profit and c = the cost.<BR>\n" );
document.write( "then p = .10 * c.<BR>\n" );
document.write( "profit is equal to revenue minus cost = .88 * x - c.<BR>\n" );
document.write( "therefore p = .88 * x - c and also p = .10 * c.<BR>\n" );
document.write( "you get .10 * c = .88 * x - c<BR>\n" );
document.write( "add c to both sides of this equation to get:<BR>\n" );
document.write( "1.10 * c = .88 * x<BR>\n" );
document.write( "solve for c to get:<BR>\n" );
document.write( "c = .88 * x / 1.10 = .8 * x.<BR>\n" );
document.write( "the marked price is equal to x and the cost is equal to .8 * x.<BR>\n" );
document.write( "the ratio of the marked price to the cost is x / .8 * x = 1.25 * x<BR>\n" );
document.write( "this means that the marked price is 25% higher than the cost.\r<BR>\n" );
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document.write( "let's see if this makes sense.\r<BR>\n" );
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document.write( "assume the cost is 100.<BR>\n" );
document.write( "the marked price is 25% higher than the cost = 125.<BR>\n" );
document.write( "the article is sold at a 12% discount from the  marked price.<BR>\n" );
document.write( "the sale price is therefore .88 * 125 = 110<BR>\n" );
document.write( "the profit ratio is equal to the (sale price minus the cost) divided by the cost = (110 - 100) / 100 = 10 / 100 = 10%\r<BR>\n" );
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document.write( "i think this looks good.<BR>\n" );
document.write( "the marked price is 25% higher than the cost.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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