document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098482>Question 1098482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 31st of December 1994, a TV costs 80,000 pesos. The 31st of December<BR>\n" );
document.write( "1995, its price was 50% higher than the previous year. The 31st of December<BR>\n" );
document.write( "1996, its price was 33% higher than the previous year. By approximately what<BR>\n" );
document.write( "% must the price decrease to return to the initial price?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712859 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=712859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 80,000 * 1.5 = 120,000 * 1.33 = 159,600.\r<BR>\n" );
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document.write( "50% of 80,000 is equal to .5 * 80,000 = 40,000.<BR>\n" );
document.write( "add that to 80,000 and you get 120,000.\r<BR>\n" );
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document.write( "33% of 120,000 is equal to 39,600.<BR>\n" );
document.write( "add that to 120,000 and you get 159,600.\r<BR>\n" );
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document.write( "80,000 + 50% of 80,000 is equal to 80,000 + .5 * 80,000.\r<BR>\n" );
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document.write( "factor out the 80,000 and this becomes 80,000 * (1 + .5) which is then equal to 80,000 * 1.5 which is equal to 120,000.\r<BR>\n" );
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document.write( "120,000 + 33% of 120,000 is equal to 120,000 + .33 * 120,000.\r<BR>\n" );
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document.write( "factor out the 120,000 and this becomes 120,000 * (1 + .33) which is then equal to 120,000 * 1.33 which is equal to 159,600.\r<BR>\n" );
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document.write( "that's how we got from 80,000 to 159,600.\r<BR>\n" );
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document.write( "80,000 * 1.5 * 1.33 is the same as multiplying 80,000 * 1.5 and then multiplying the result of that by 1.33.\r<BR>\n" );
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document.write( "the original value is 80,000.\r<BR>\n" );
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document.write( "the final value is 159,600.\r<BR>\n" );
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document.write( "the difference between the two is the increase from the original value to the final value.\r<BR>\n" );
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document.write( "the difference between the two is also the decrease from the final value to the original value.\r<BR>\n" );
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document.write( "the rate of increase is the increase divided by the original value.\r<BR>\n" );
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document.write( "the rate of decrease is the decrease divided by the final value.\r<BR>\n" );
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document.write( "the rate of increase is equal to 79,600 / 80,000 = .995 = 99.5%.\r<BR>\n" );
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document.write( "the rate of decrease is equal to 79,600 / 159,600 = .4987468672 = 49.87% rounded to two decimal places.\r<BR>\n" );
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