document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005190>Question 1005190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how much time will the simple interest on a certain sum be 168rupees if it produces 21rupees as interest in 4 months at half the rate </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621573 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=621573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simple interest is based on the original investment only.\r<BR>\n" );
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document.write( "let x = the sum of money.\r<BR>\n" );
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document.write( "let n = the number of months.\r<BR>\n" );
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document.write( "you are given that you get 21 rupees as interest in 4 months at half the rate.\r<BR>\n" );
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document.write( "this maeans that, at full rate, you would earn 42 rupees as interest in 4 months.\r<BR>\n" );
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document.write( "since 168 is equal to 4 * 42, then you would earn 168 rupees interest in 16 months.\r<BR>\n" );
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document.write( "you could also solve as follows:\r<BR>\n" );
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document.write( "you earn 21 rupees interest in 4 months at half rate.\r<BR>\n" );
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document.write( "this means you would earn 21/4 rupees each month at half rate.\r<BR>\n" );
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document.write( "this means you would earn 42/4 rupees each month at full rate.\r<BR>\n" );
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document.write( "42/4 = 10.5 rupees each month at rull rate.\r<BR>\n" );
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document.write( "168 rupees / 10.5 rupees / month = 16 months.\r<BR>\n" );
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document.write( "still another way.\r<BR>\n" );
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document.write( "21 rupees at half rate in 4 months means 21 rupees at full rate in 2 months.\r<BR>\n" );
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document.write( "divide 168 by 21 to get 8 two month periods which is equal to 16 months.\r<BR>\n" );
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document.write( "they all point to 16 months at the number of months required to earn 168 rupees if you are earning 21 rupees in 4 months at half rate.\r<BR>\n" );
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