document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=702716>Question 702716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shopkeeper buys a number of packets of biscuits for Rs.80.If had bought 4 more packets for the same amount,each packet would have lost Rs.1 less.How many packets he did buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433104 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let he buys x packets for Rs 80<BR>\n" );
document.write( "so cost of each packet =Rs 80/x<BR>\n" );
document.write( "now he bought 4 more packets for the same amount,<BR>\n" );
document.write( "so each packet cost=Rs 80/(x+4)<BR>\n" );
document.write( "as per question 80/x-80/(x+4)=1<BR>\n" );
document.write( "or 80[x+4-x]/[x(x+4)]=1<BR>\n" );
document.write( "or 80*4=x(x+4)=x^2+4x<BR>\n" );
document.write( "or x^2+4x-320=0<BR>\n" );
document.write( "or x^2+20x-16x-320=0<BR>\n" );
document.write( "or x(x+20)-16(x+20)=0<BR>\n" );
document.write( "or (x+20)(x-16)=0<BR>\n" );
document.write( "or x=-20 or 16<BR>\n" );
document.write( "taking the positive value he  bought 16 packets<BR>\n" );
document.write( "ans </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );