document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124466>Question 1124466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The price of sugar increases by 32%.a family reduce its consumption so that  the expenditure of the sugar is up by10% only.if the consumption of sugar before price rise was 10kg/month,then the consumption of sugar per month at present in kg is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740773 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=740773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "in general, total cost is equal to the quantity bought * the price per unit of quantity bought.\r<BR>\n" );
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document.write( "when the quantity is 10 kilograms, and the price is x per kilogram, then the total cost is 10 * x.\r<BR>\n" );
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document.write( "if the price goes up 32%, then the total cost becomes 10 * 1.32 * x = 13.2 * x.\r<BR>\n" );
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document.write( "but the family wants the total cost to be only 10% higher.\r<BR>\n" );
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document.write( "in other words, they want the total cost to be equal to 11 * x.\r<BR>\n" );
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document.write( "the new price per kilogram will still be 1.32.\r<BR>\n" );
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document.write( "the quantity, however, can be reduced so the total cost is 1.10 * x.\r<BR>\n" );
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document.write( "let y = the new quantity.\r<BR>\n" );
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document.write( "you get y * 1.32 * x = 11 * x.\r<BR>\n" );
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document.write( "divide both sides of this equation by 1.32 * x to get:\r<BR>\n" );
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document.write( "y = (11 * x) / (1.32 * x)\r<BR>\n" );
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document.write( "simplify to get y = 11 / 1.32 = 8.33333..... = 8 and 1/3 kilograms.\r<BR>\n" );
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document.write( "if they reduce the quantity from 10 kilograms to 8 and 1/3 kilograms, then the overall cost will only be 10% higher rather than 32% higher.\r<BR>\n" );
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document.write( "8 and 1/3 * 1.32 * x = 11 * x.\r<BR>\n" );
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document.write( "the total cost went up from 10 * x to 11 * x.\r<BR>\n" );
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document.write( "that's a 10% increase in total cost.\r<BR>\n" );
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document.write( "as an example, assume the original price per kilogram was 5 dollars.\r<BR>\n" );
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document.write( "the family buys 10 kilogram * 5 dollars per kilogram = 50 dollars.\r<BR>\n" );
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document.write( "the price goes up 32% so the price is now 6.6 dollars per kilogram.\r<BR>\n" );
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document.write( "the family reduces their consumption to 8 and 1/3 kilograms.,\r<BR>\n" );
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document.write( "the new total cost is 8 and 1/3 * 6.6 = 55 dollars.\r<BR>\n" );
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document.write( "that's a 10% increase in total cost because (55 - 50) / 50 = 5 / 10 = .1 = 10%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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