document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997504>Question 997504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the percentage difference between 25,000 and 35,000?<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 #615546 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=615546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it depends on which is the original value and which is the revised value.<BR>\n" );
document.write( "the difference is the same.<BR>\n" );
document.write( "35000 - 25000 = 10000<BR>\n" );
document.write( "25000 - 35000 = -10000<BR>\n" );
document.write( "35000 is 10000 more than 25000<BR>\n" );
document.write( "25000 is 10000 less than 35000\r<BR>\n" );
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document.write( "if 25000 is the original value, then 35000 / 25000 = 1.4 * 100% = 140%.<BR>\n" );
document.write( "this means that 35000 is 140% of 25000.<BR>\n" );
document.write( "take away 100% and it is 40% greater than 25000.\r<BR>\n" );
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document.write( "40% greater means that you multiply 25000 * .4 and add it to 25000 to get 10000 + 25000 = 35000.\r<BR>\n" );
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document.write( "if 35000 is the original value, then 25000 / 35000 = .7142857143 * 100% = 71.43%.<BR>\n" );
document.write( "this means that 25000 is 71.53% of 35000.<BR>\n" );
document.write( "take away 100% and it is -28.57% greater than 35000.<BR>\n" );
document.write( "this means that it is 28.57% smaller than 35000.\r<BR>\n" );
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document.write( "28.57% smaller means that you multiply 35000 * .2857 and subtract that from 35000 to get 25000.\r<BR>\n" );
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document.write( "35000 * .2857 = 10000 subtracted from 35000 = 25000.<BR>\n" );
document.write( "any differences are due to rounding, since .2857 is a rounded version of .2857142857.<BR>\n" );
document.write( "i used the unrounded version to get 10,000.<BR>\n" );
document.write( "35000 * .2857 would have gotten me 9999.5 which is close to 10000 but no cigar.\r<BR>\n" );
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