document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=487107>Question 487107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a shopkeeper marks the price of goods 50% more than their cost price and allows a discount of 40%, what is his gain% or loss%?<BR>\n" );
document.write( "A)20% loss<BR>\n" );
document.write( "B)20% gain<BR>\n" );
document.write( "C)10% loss<BR>\n" );
document.write( "D)10% gain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332957 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=332957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c = cost<BR>\n" );
document.write( "p = price<BR>\n" );
document.write( "d = discount rate (discount rate = discount percent divided by 100)<BR>\n" );
document.write( "s = sale price<BR>\n" );
document.write( "m = markup rate (markup rate = markup percent divided by 100)\r<BR>\n" );
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document.write( "your formula would be:\r<BR>\n" );
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document.write( "s = (1-d)*p where:\r<BR>\n" );
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document.write( "p = (1+m)*c\r<BR>\n" );
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document.write( "if you put these 2 formulas together, you get:\r<BR>\n" );
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document.write( "s = (1-d)*(1+m)*c\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "d = .40<BR>\n" );
document.write( "m = .50\r<BR>\n" );
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document.write( "your formula becomes:<BR>\n" );
document.write( "s = (.6)*(1.5)*c which becomes:<BR>\n" );
document.write( "s = .9*c\r<BR>\n" );
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document.write( ".9 is equivalent to 90% of cost which represents a 10% loss.\r<BR>\n" );
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document.write( "let's see how that works in real life.\r<BR>\n" );
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document.write( "assume the cost is $100.00\r<BR>\n" );
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document.write( "you mark it up to make the price equal to $150.00\r<BR>\n" );
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document.write( "you give a 40% discount which brings the sale price down to $150.00 minus .40 * $150.00 which equals $150.00 minus 60 dollars which equals $90.00\r<BR>\n" );
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document.write( "your cost was $100.<BR>\n" );
document.write( "your sale price was $90.00<BR>\n" );
document.write( "you lost $10.00<BR>\n" );
document.write( "that represents a loss of $10/$100 = 10%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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