document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142622>Question 1142622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Priya earned ₹15,000 in the first month. Thereafter her salary increased by ₹1500 per <BR>\n" );
document.write( "year. Her expenses are ₹13,000 during the first year and the expenses increases by <BR>\n" );
document.write( "₹900 per year. How long will it take for her to save ₹20,000 per month. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763351 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=763351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my interpretation of this problem is as follows:\r<BR>\n" );
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document.write( "she is making 15000 per month in the first yer.<BR>\n" );
document.write( "in the second year, and every year after that, she is making an additional 1500 per month.\r<BR>\n" );
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document.write( "her expenses in the first year are 13000 per month.<BR>\n" );
document.write( "in the second year, and every year after that, her expenses per month are an additional 900 per month.\r<BR>\n" );
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document.write( "i translated this to yearly salary and yearly expenses.\r<BR>\n" );
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document.write( "15000 per month * 12 = 180,000 per year.<BR>\n" );
document.write( "1500 per month * 12 = 18,000 per year.\r<BR>\n" );
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document.write( "13000 per month * 12 = 156,000 per year.<BR>\n" );
document.write( "900 per monmth * 12 = 10,800 per year.\r<BR>\n" );
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document.write( "the equation for her salary growth is S = 180,000 + 18,000 * x.<BR>\n" );
document.write( "the equation for her expenses is E = 156,000 + 10,800 * x.\r<BR>\n" );
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document.write( "x is the number of years.\r<BR>\n" );
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document.write( "the equations for her savings for each year is V = S - E.<BR>\n" );
document.write( "this becomes V = 180,000 + 18,000 * x - 156,000 - 10,800 * x.<BR>\n" );
document.write( "combine like terms to get V = 24,000 + 7,200 * x\r<BR>\n" );
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document.write( "if her savings are going to be 20,000 per month, then her savings per year will be 20,000 * 12 = 240,000 per year.\r<BR>\n" );
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document.write( "you want to know how many years before her savings per month = 20,000.<BR>\n" );
document.write( "this should be equivalent to asking how many years before her savings per month = 240,000.\r<BR>\n" );
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document.write( "replace V with 240,000 and the equation of V = V = 24,000 + 7,200 * x becomes 240,000 = 24,000 + 7,200 * x.\r<BR>\n" );
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document.write( "solve for x to get x = (240,000 - 24,000) / 7,200 = 30.\r<BR>\n" );
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document.write( "if correct, it would take 30 years for her savings per month to be equal to  20,000.\r<BR>\n" );
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document.write( "i used excel to confirm that this is true.\r<BR>\n" );
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document.write( "here's two displays from the excel analysis.\r<BR>\n" );
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document.write( "the first shows the first two years.\r<BR>\n" );
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document.write( "the second shoes the last two years.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/062701.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/062702.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the monthly savings becomes 20,000 in the thirty first year.\r<BR>\n" );
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document.write( "the thirty first year is thirty years after the first year.\r<BR>\n" );
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document.write( "this is based on my interpretation of your problem.\r<BR>\n" );
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document.write( "if my interpretation is in error, then please be more specific about what your interpretation of the problem is.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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