document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191320>Question 191320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man bought some chairs for Rs 200/- .Five chairs were stolen from the total. He sold the remaining chairs for a profit of Rs 40 The selling price of chair was Rs 4 more than its cost price. How many chairs did he buy and how much was the cost price of each chair? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143627 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man bought some chairs for Rs 200/- .Five chairs were stolen from the total.<BR>\n" );
document.write( " He sold the remaining chairs for a profit of Rs 40.<BR>\n" );
document.write( " The selling price of chair was Rs 4 more than its cost price.<BR>\n" );
document.write( " How many chairs did he buy and how much was the cost price of each chair?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. of chairs bought originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fx ALIGN=MIDDLE  ALT=\"200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost of each chair he bought<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x-5) = no. of chairs sold<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Since he made $40 profit, selling price must be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"240%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Selling price - unit cost = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"240%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fx ALIGN=MIDDLE  ALT=\"200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "Multiply equation by x(x-5), results:<BR>\n" );
document.write( "240x - 200(x-5) = 4x(x-5)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "240x - 200x + 1000 = 4x^2 - 20x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "40x + 1000 = 4x^2 - 20x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "0 = 4x^2 - 20x - 40x - 1000<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "4x^2 - 60x - 1000 = 0<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "x^2 - 15x - 250 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(x-25)(x+10) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "x = 25 chairs originally purchased<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Find original cost:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F25 ALIGN=MIDDLE  ALT=\"200%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $8 per chair<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Selling price (5 fewer chairs sold):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F20 ALIGN=MIDDLE  ALT=\"240%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $12 per chair (which is a $4 profit on ea chair) </SPAN>\n" );
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