document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174193>Question 1174193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The marked price of a pillow is $240. The shop makes a profit of 28% by selling the pillow at a discount of 20%.If the pillow is sold at the marked price, find the profit percent </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799584 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=799584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the marked price is 240.<BR>\n" );
document.write( "the pillow is sold at a discount of 20% off the marked price.<BR>\n" );
document.write( "240 - .2 * 240 = 192.<BR>\n" );
document.write( "that's the price the pillow was sold at.<BR>\n" );
document.write( "the shop made a profit of 28% over the cost of the pillow.<BR>\n" );
document.write( "let x = the cost of the pillow.<BR>\n" );
document.write( "your equation to solve is:<BR>\n" );
document.write( "x + .28 * x = 192<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "1.28 * x = 192<BR>\n" );
document.write( "divide both sides of this equation by 1.28 to get:<BR>\n" );
document.write( "x = 192 / 1.28 = 150.\r<BR>\n" );
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document.write( "the cost of the pillow was 150.<BR>\n" );
document.write( "if the pillow was sold at the marked price of 240, then the profit would have been 240 - 150 = 90.<BR>\n" );
document.write( "the profit margin would have been 90 / 150 = .6 * 100 = 60%.\r<BR>\n" );
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document.write( "confirm as follows:\r<BR>\n" );
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document.write( "cost is 150.<BR>\n" );
document.write( "1.28 * 150 = 192<BR>\n" );
document.write( "1.60 * 150 = 240<BR>\n" );
document.write( ".8 * 240 = 192\r<BR>\n" );
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document.write( "1.28 * 150 is the same as 150 + .28 * 150<BR>\n" );
document.write( "1.60 * 150 is the same as 150 + .60 * 150<BR>\n" );
document.write( ".8 * 240 is the same as 240 - .2 * 240\r<BR>\n" );
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document.write( "this is done by factoring out the common term in the expression.\r<BR>\n" );
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document.write( "start with 150 + .28 * 150 and factor out the common term of 150 to get (1 + .28) * 150 and simplify the terms in the parentheses to get 1.28 * 150.\r<BR>\n" );
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document.write( "start with 150 + .60 * 150 and factor out the common term of 150 to get (1 + .60) * 150 and simplify the terms in the parentheses to get 1.60 * 150.\r<BR>\n" );
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document.write( "start with 240 - .2 * 240 and factor out the common term of 240 to get (1 - .2) * 240 and simplify the terms in the parentheses to get .8 * 240.<BR>\n" );
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