document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923626>Question 923626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man bought some oranges at the rate of 3<BR>\n" );
document.write( "oranges for one rupee and equal number of oranges<BR>\n" );
document.write( "at the rate of 2 oranges for one rupee. What is his<BR>\n" );
document.write( "profit, if he sells 2 oranges for one rupee. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560182 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=560182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he buys a batch of oranges at 3 oranges per rupee.<BR>\n" );
document.write( "his cost per orange is equal to 1/3 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "he buys another batch of oranges at 2 oranges per rupee.<BR>\n" );
document.write( "his cost per orange is equal to 1/2 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since he buys an equal amount of each, then his average cost per orange for both batches is equal to (1/3 + 1/2) / 2 which is equal to 5/6 divided by 2 which is equal to 5/12 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "his cost for 2 oranges is therefore equal to 10/12 of a rupee which can be simplified to 5/6 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if he sells 2 oranges for 1 rupee, then his profit is 1 - 5/6 = 1/6 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we can test this to see if it makes sense.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "assume he buys 2 batches of 18 oranges apiece.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "one batch is bought at 3 oranges per rupee for a total cost of 6 rupees.<BR>\n" );
document.write( "the other batch is bought at 2 oranges per rupee for a total cost of 9 rupees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "his total cost is equal to 6 + 9 = 15 rupees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "his cost per orange is equal to 15 / 36 = 5/12 of a rupee per orange.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "he sells 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "he makes 1 rupee.<BR>\n" );
document.write( "his cost is 10/12 of a rupee which simplifies to 5/6 of a rupee.<BR>\n" );
document.write( "his profit is 1 rupee minus 5/6 of a rupee = 1/6 of a rupee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution is confirmed as good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );