document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834196>Question 834196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man bought an article for 300. by selling it at a discount of 25% he made a profit of 15% on the cost. find the list price. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502863 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=502863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cost is equal to $300.<BR>\n" );
document.write( "let x equal the retail price.<BR>\n" );
document.write( "the discount price is therefore equal to x - .25 * x which is equal to .75*x.<BR>\n" );
document.write( "his revenue is the discount price.<BR>\n" );
document.write( "profit is equal to revenue minus cost.<BR>\n" );
document.write( "profit is also equal to 15% of the cost.<BR>\n" );
document.write( "15% of 300 is equal to 45 dollar.<BR>\n" );
document.write( "profit is equal to 45<BR>\n" );
document.write( "revenue is equal to .75x<BR>\n" );
document.write( "cost is equal to 300<BR>\n" );
document.write( "profit = revenue minus cost becomes:<BR>\n" );
document.write( "45 = .75x - 300<BR>\n" );
document.write( "add 300 to both sides of this equation to get:<BR>\n" );
document.write( ".75x = 345<BR>\n" );
document.write( "divide both sides of this equation by .75 to get:<BR>\n" );
document.write( "x = 345 / .75 = 460\r<BR>\n" );
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document.write( "the original retail price is 460<BR>\n" );
document.write( "he sells it as a 25% discount off of the retail price.<BR>\n" );
document.write( "the selling price is equal to 460 - .25 * 460 which is equal to 345<BR>\n" );
document.write( "he sells it at 345 and his cost is 300 so he makes a profit of 45.<BR>\n" );
document.write( "45 / 300 is equal to .15 which is equal to 15% of 300 which is equal to 15% of the cost.\r<BR>\n" );
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document.write( "if you let S equal the selling price and you let C equal the cost and you let P = the profit, you will get the equation:\r<BR>\n" );
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document.write( "P = S - C\r<BR>\n" );
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document.write( "if you let R equal the retail price and you let S equal the retail price minus 25% of the retail price, you will get the equation:\r<BR>\n" );
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document.write( "S = R - .25R\r<BR>\n" );
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document.write( "if you replace S with R - .25R in the equation of P = S - C, you will get the equation:\r<BR>\n" );
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document.write( "P = R - .25R - C\r<BR>\n" );
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document.write( "if you let P = .15 * C, then you will get the equation:\r<BR>\n" );
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document.write( ".15 * C = R - .25R - C\r<BR>\n" );
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document.write( "if you simplify this equation you will get:\r<BR>\n" );
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document.write( ".15 * C = .75R - C\r<BR>\n" );
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document.write( "if you add C to both sides of this equation, you will get:\r<BR>\n" );
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document.write( ".15 * C + C = .75R\r<BR>\n" );
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document.write( "if you simplify this equation, you will get:\r<BR>\n" );
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document.write( "1.15 * C = .75 * R\r<BR>\n" );
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document.write( "if you divide both sides of this equation by .75, you will get:\r<BR>\n" );
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document.write( "(1.15 * C) / .75 = R\r<BR>\n" );
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document.write( "if you replace C with 300, you will get:\r<BR>\n" );
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document.write( "(1.15 * 300) / .75 = R\r<BR>\n" );
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document.write( "solve for R and you will get:\r<BR>\n" );
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document.write( "R = (1.15 * 300) / .75) = 460.\r<BR>\n" );
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document.write( "you can work it either way and you'll come up with the same answer, as you should.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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