document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089236>Question 1089236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shopkeeper sells the good at 10% loss on cost price but uses 20% less weight. What is his percentage profit or loss? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703579 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=703579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the regular price is x and the regular weight is y.\r<BR>\n" );
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document.write( "the regular price per pound is therefore x/y.\r<BR>\n" );
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document.write( "the new price is .9 * x and the new weight is .8 * y.\r<BR>\n" );
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document.write( "the new price per pound is therefore .9 * x / (.8 * y) = .9/.8 * x/y which is equal to 1.125 * x/y\r<BR>\n" );
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document.write( "the customer is paying 12.5% more on a price per pound basis.\r<BR>\n" );
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document.write( "put this into numbers and you should be able to see what i mean.\r<BR>\n" );
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document.write( "you sell a chocolate bar for 10 dollar and it contains 1 pound of chocolate.\r<BR>\n" );
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document.write( "you reduce the price to 9 dollars but the chocolate bar now only contains .8 pounds of chocolate.\r<BR>\n" );
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document.write( "the customer is paying less money for the chocolate bar but he's getting even less chocolate.\r<BR>\n" );
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document.write( "the cost per pound of chocolate in the original bar was 10/1 = 10 dollars per pound.\r<BR>\n" );
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document.write( "the cost per pound of chocolate in the new bar is 9/.8 = 11.25 dollars per pound.\r<BR>\n" );
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document.write( "that's an increase in price per pound of chocolate of 1.25 over 10 dollars which is equal to .125 which is equal to 12.5%.\r<BR>\n" );
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document.write( "the shopkeeper makes 12.5% profit over the regular price per pound of chocolate.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "he wants to sell 100 pounds of chocolate.\r<BR>\n" );
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document.write( "when each bar of chocolate is 1 pound, and he's charging 10 dollars for each bar, then he can sell 100 bars at 10 dollars apiece to make 1000 dollars.\r<BR>\n" );
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document.write( "when each bar of chocolate is .8 pounds, and he's charging 9 dollars for each bar, then he can sell 125 bars of chocolate at 9 dollars apiece for a total of 1125 dollars.\r<BR>\n" );
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document.write( "his profit is 125 dollars over what he would have made with the original price and weight.\r<BR>\n" );
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document.write( "this is equal to 125/1000 * 100 = 12.5%.\r<BR>\n" );
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document.write( "note that 10% loss on the cost price is equal to (1 - .10) * cost price which is equal to .9 * original cost price.\r<BR>\n" );
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document.write( "note also that 20% loss on weight is equal to (1 - .2) * weight which is equal to .8 * original weight.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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