document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408716>Question 408716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amount of taxes payed on $125000 is federal 50% and state 30%. The federal tax is computed after state tax paid. The state tax is computed after federal tax is paid. How much is the federal and state taxes?\r<BR>\n" );
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document.write( "Solution: Let y be the total income<BR>\n" );
document.write( "Therefore, State Tax= y x 30%<BR>\n" );
document.write( "                    =30y/100<BR>\n" );
document.write( "                    =3y/10<BR>\n" );
document.write( "Income after State Tax = y - 3y/10<BR>\n" );
document.write( "                       = 7y/10\r<BR>\n" );
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document.write( "Now, Federal Tax= 7y/10 x 50%<BR>\n" );
document.write( "                 = 7y/20\r<BR>\n" );
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document.write( "so total tax= 3y/10 + 7y/20\r<BR>\n" );
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document.write( "Now this total tax must be equal to 125000<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "3y/10 +  7y/20 = 125000<BR>\n" );
document.write( "(6y + 7y)/20 = 125000<BR>\n" );
document.write( "13y/20 = 125000<BR>\n" );
document.write( "so, y = (125000 x 20)/13<BR>\n" );
document.write( "    y= $192307.69<BR>\n" );
document.write( "State Tax= $192307.69 x 30%<BR>\n" );
document.write( "         =$ 57692.31<BR>\n" );
document.write( "Income after state tax= $192307.69 - $ 57692.31<BR>\n" );
document.write( "                      = $ 134615.38<BR>\n" );
document.write( "So, Federal Tax = $134615.38 x 50%<BR>\n" );
document.write( "                 = $ 67307.69\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287855 by </B><A HREF=/tutors/aboutme.mpl?userid=Adrish><B>Adrish(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Adrish><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amount of taxes payed on $125000 is federal 50% and state 30%. The federal tax is computed after state tax paid. The state tax is computed after federal tax is paid. How much is the federal and state taxes?\r<BR>\n" );
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document.write( "Solution: Let y be the total income<BR>\n" );
document.write( "Therefore, State Tax= y x 30%<BR>\n" );
document.write( "                    =30y/100<BR>\n" );
document.write( "                    =3y/10<BR>\n" );
document.write( "Income after State Tax = y - 3y/10<BR>\n" );
document.write( "                       = 7y/10\r<BR>\n" );
document.write( "\n" );
document.write( "Now, Federal Tax= 7y/10 x 50%<BR>\n" );
document.write( "                 = 7y/20\r<BR>\n" );
document.write( "\n" );
document.write( "so total tax= 3y/10 + 7y/20\r<BR>\n" );
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document.write( "Now this total tax must be equal to 125000<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "3y/10 +  7y/20 = 125000<BR>\n" );
document.write( "(6y + 7y)/20 = 125000<BR>\n" );
document.write( "13y/20 = 125000<BR>\n" );
document.write( "so, y = (125000 x 20)/13<BR>\n" );
document.write( "    y= $192307.69<BR>\n" );
document.write( "State Tax= $192307.69 x 30%<BR>\n" );
document.write( "         =$ 57692.31<BR>\n" );
document.write( "Income after state tax= $192307.69 - $ 57692.31<BR>\n" );
document.write( "                      = $ 134615.38<BR>\n" );
document.write( "So, Federal Tax = $134615.38 x 50%<BR>\n" );
document.write( "                 = $ 67307.69 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );