document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125101>Question 1125101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man bought 8 dozen articles at $1.40$ each, he sold 40 of them at a profit of 20%,35 at a loss of 4% and the remainder at a profit of 15%<BR>\n" );
document.write( "1)the overall selling price to the nearest dollar is? <BR>\n" );
document.write( "2)the overall percentage gain or loss to 2 decimal places  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741428 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=741428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he bought 8 dozen articles at $1.40 each.<BR>\n" );
document.write( "he sold 40 at a profit of 20%.<BR>\n" );
document.write( "he sold 35 at a loss of 5%.<BR>\n" );
document.write( "he sold the remainder at a profit of 15%.\r<BR>\n" );
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document.write( "8 * 12 = 96<BR>\n" );
document.write( "96 - 40 - 35 = 21 remainder.\r<BR>\n" );
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document.write( "he sold 40 at a  profit of 20% means he made 40 * 1.40 * 1.20 = $67.20.<BR>\n" );
document.write( "he sold 35 at a loss of 5% means he made 35 * 1.40 * .95 = $46.55<BR>\n" );
document.write( "he sold 21 at a profit of 15% means he made 21 * 1.40 * 1.15 = $33.81\r<BR>\n" );
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document.write( "the total he made was 67.20 + 46.55 + 33.81 =  $147.56\r<BR>\n" );
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document.write( "his total cost was 96 * 1.40 = $134.40.\r<BR>\n" );
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document.write( "hit total percent profit was (147.56 - 134.40) / 134.40 = .0979166667 * 100 = 9.79166667 percent.\r<BR>\n" );
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document.write( "overall selling price to the nearest dollar is $148.<BR>\n" );
document.write( "overall profit to 2 decimal places is 9.79%.\r<BR>\n" );
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document.write( "1.2 factor is calculated as x + .10 * x = x * (1 + .1) = 1.2 * x<BR>\n" );
document.write( ".95 factor is calculated as x - .05 * x = x * (1 - .05) = .95 * x<BR>\n" );
document.write( "1.15 factor is calculated as x + .15 * x = x * (1 + .15) = 1.15 * x\r<BR>\n" );
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document.write( "rate = percent rate divided by 100.<BR>\n" );
document.write( "rate * 100 = percent rate.\r<BR>\n" );
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