document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965470>Question 965470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the salary of A is 20% below the salary of B and the salary of C is 56.25% greater than the salary of A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "by how much % is the salary of B less than the salary of C. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590152 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=590152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the salary of A is 20% below the salary of B and the salary of C is 56.25% greater than the salary of A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "by how much % is the salary of B less than the salary of C?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "salary of A is .8 * B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is because 20% less than salary of B is equal to B - .20 * B which is equal to (1 - .2) * B which is equal to .8 * B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "salary of C is 1.5625 * salary of A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is because 56.25% greater than A is equal to A + .5625 * A which is equal to (1 + .5625) * A which is equal to 1.5625 * A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so you have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = .8 * B<BR>\n" );
document.write( "C = 1.5625 * A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the equation of A = .8 * B, solve for B to get B = A / .8 which is the same as 1/.8 * A which simplifies to B = 1.25 * A.   \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you now have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = .8 * B<BR>\n" );
document.write( "B = 1.25 * A<BR>\n" );
document.write( "C = 1.5625 * A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you want to know what percent the salary of B is less than C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the formula for this would be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(C - B) / C * 100%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since B = 1.25 * A and C = 1.5625 * A, this formula becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(C - B) / C * 100% = [(1.5625 * A - 1.25 * A) / (1.5625 * A)] * 100%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The A in the denominator and the A in the numerator cancel out and you are left with:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(C - B) / C * 100% = [(1.5625 - 1.25) / 1.5625] * 100%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sinplify this to get (C - B) / C * 100% = 20%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's your solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B is 20% less than C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to see if you're correct, give some values to A and B and C and see if this makes sense.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let B = 1000<BR>\n" );
document.write( "this means that A is equal to 800 because A is equal to 80% of B.<BR>\n" );
document.write( "this means that C is equal to 1250 because 80% of 1250 is equal to 1000.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the numbers are correct, than C must be 56.25% greater than A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "800 * 1.5625 is equal to 1250.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the numbers check out so the solution appears to be good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i'd go with it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution is that B is 20% less than C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );