document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417549>Question 417549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A retailer buys a batch of 50 items of a product for 10 000 €. He then sets a price so that the<BR>\n" );
document.write( "selling price is 80 % higher than the buying price. When there is 40 % left of the batch, the<BR>\n" );
document.write( "retailer lowers the price and manages to sell off the rest for a reduced selling price of<BR>\n" );
document.write( "171 €/item.<BR>\n" );
document.write( "a) Calculate the discount percentage relative to the initial selling price.<BR>\n" );
document.write( "b) Calculate the profit percentage for the whole batch.<BR>\n" );
document.write( "Give your answers with an accuracy of one decimal.<BR>\n" );
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document.write( "I TRIED IT THIS WAY<BR>\n" );
document.write( "Let's resume what he did.<BR>\n" );
document.write( "he bought 50 items for 10000€ means 1 item for 200€ <BR>\n" );
document.write( "when he set the selling price, it was 200*1.80 = 360€ for one item.<BR>\n" );
document.write( "60% out of 50 items were sold by 360€/item...that gives us 360*30items = 10800€.<BR>\n" );
document.write( "40% that is 20 items were sold by 171€*20 = 3420€. <BR>\n" );
document.write( "a)<BR>\n" );
document.write( "the discount percentage relative to the initial selling price: is the discount from 200€/item to 171€/item<BR>\n" );
document.write( "200€-----------100%<BR>\n" );
document.write( "171€-----------x%<BR>\n" );
document.write( "x% = 85.5%<BR>\n" );
document.write( "The discount is 100%-85.5%= 14.5% <BR>\n" );
document.write( "b) <BR>\n" );
document.write( "10800€+3420€ = 14220€ for the whole batch<BR>\n" );
document.write( "that's:<BR>\n" );
document.write( "10000€-------100%<BR>\n" );
document.write( "14220€-------y%<BR>\n" );
document.write( "y% = 142.2%<BR>\n" );
document.write( "the profit percentage for the whole batch is 42.2% ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292344 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "you are correct............\r<BR>\n" );
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document.write( "For the profit percentage, the initial cost is 10,000€,\r<BR>\n" );
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document.write( "that's 200€ each , so an 80% increase would be 360€ each.\r<BR>\n" );
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document.write( "He sells 40%, or 30 items at 360€ = 10,800€<BR>\n" );
document.write( "He sells 60%, or 20 items at 171€ =  3,420€  total = 14,220€\r<BR>\n" );
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document.write( "So the profit percent would be 14,220 - 10,000 = 4220/10,000=0.422\r<BR>\n" );
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document.write( "or 42.2% </SPAN>\n" );
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