document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011127>Question 1011127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A seller allows a discount of 5% on watch.<BR>\n" );
document.write( "if it discounts at 7% he earns Rs.15 less in profit. What is the MP; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626712 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=626712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> profit is equal to revenue minus cost.\r<BR>\n" );
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document.write( "sale price = retail price minus discount.\r<BR>\n" );
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document.write( "at 5% discount, the sale price is equal to retail price minus 5% of retail price.\r<BR>\n" );
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document.write( "at 7% discount, the sale price is equal to retail price minus 7% of retail price.\r<BR>\n" );
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document.write( "when he sells it at 5% discount, he makes 15 more than when he sells it at 7% discount.\r<BR>\n" );
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document.write( "this means that sale price at 5% discount minus sale price at 7% discount = 15.\r<BR>\n" );
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document.write( "the difference between the sale price at 5% discount and the sale price at 7% discount is equal to 2% of the retail price.\r<BR>\n" );
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document.write( "this means that 2% of the retail price is equal to 15.\r<BR>\n" );
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document.write( "this means that the retail price is 15 / 2% = 15 / .02 = 750.\r<BR>\n" );
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document.write( "the sale price at 5% discount = 750 - .05 * 750 = 712.5<BR>\n" );
document.write( "the sale price at 7% discount = 750 - .07 * 750 = 697.5\r<BR>\n" );
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document.write( "in algebraic terms, you would solve it something like this:\r<BR>\n" );
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document.write( "r = retail price<BR>\n" );
document.write( "s1 = sale price at 5% discount<BR>\n" );
document.write( "s2 = sale price at 7% discount<BR>\n" );
document.write( "d1 = .05r<BR>\n" );
document.write( "d2 = .07r<BR>\n" );
document.write( "p1 = profit at 5% discount<BR>\n" );
document.write( "p2 = profit at 7% discount<BR>\n" );
document.write( "c = cost\r<BR>\n" );
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document.write( "s1 = r-d1<BR>\n" );
document.write( "s2 = r-d2\r<BR>\n" );
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document.write( "since d1 = .05r and d2 = .07r, this leads to:\r<BR>\n" );
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document.write( "s1 = r - .05r<BR>\n" );
document.write( "s2 = r - .07r\r<BR>\n" );
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document.write( "profit at 5% discount = sale price at 5% discount - cost<BR>\n" );
document.write( "profit at 7% discount = sale price at 7% discount - cost\r<BR>\n" );
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document.write( "since c is the cost, this leads to:\r<BR>\n" );
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document.write( "p1 = s1 - c<BR>\n" );
document.write( "p2 = s1 - c\r<BR>\n" );
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document.write( "since s1 = r-.05r and s2 = r-.07r, this leads to:\r<BR>\n" );
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document.write( "p1 = r-.05r-c<BR>\n" );
document.write( "p2 = r-.07r-c\r<BR>\n" );
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document.write( "since profit at 5% discount is 15 more than profit at 7% discount, this leads to:\r<BR>\n" );
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document.write( "p1-p2=15\r<BR>\n" );
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document.write( "since p1 = r-.05r-c and p2 = r-.07r-c, this leads to:\r<BR>\n" );
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document.write( "(r-.05r-c) - (r-.07r-c) = 15\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "r-.05r-c-r+.07r+c = 15\r<BR>\n" );
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document.write( "the r and the c cancel out and you are left with:\r<BR>\n" );
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document.write( "-.05r+.07r = 15\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( ".02r = 15\r<BR>\n" );
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document.write( "solve for r to get r = 15/.02 = 750.\r<BR>\n" );
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document.write( "that's the retail price.\r<BR>\n" );
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document.write( "the sale price at 5% discount = 750 - .05*750 = 712.5<BR>\n" );
document.write( "the sale price at 7% discount = 750 - .07*750 = 697.5\r<BR>\n" );
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document.write( "i believe the sale price is the same as what you call the market price.\r<BR>\n" );
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document.write( "your solution depends on what market price they are looking for.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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