document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481133>Question 481133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man purchases a certain number of mangoes at the rate of 3 per rupee and the same number at the rate 4 per rupee. He mixes them together and sells them at the rate of 3 per rupee. what is his gain or loss percent?\r<BR>\n" );
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document.write( "(A) 7%  (B) 8%  (C) 13%  (D) 100/7  (E) 49/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329479 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=329479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he buys a certain number at 3 mangoes per rupee.<BR>\n" );
document.write( "he buys the same number at 4 mangoes per rupee.<BR>\n" );
document.write( "he mixes them together and sells them at 3 mangoes per rupee.<BR>\n" );
document.write( "let x = number of mangoes he buys.<BR>\n" );
document.write( "if he gets 3 mangoes for 1 rupee, then his cost per mango is r/3.<BR>\n" );
document.write( "if he gets 4 mangoes for 1 rupee, then his cost per mango is r/4.<BR>\n" );
document.write( "he buys x at r/3 each for a total cost of xr/3.<BR>\n" );
document.write( "he buys x at r/4 each for a total cost of xr/4.<BR>\n" );
document.write( "his total cost is xr/3 + xr/4 which becomes 7xr/12.<BR>\n" );
document.write( "when he sells the mangoes, he sells them for 3 mangoes per rupee.<BR>\n" );
document.write( "his revenue for each mango is therefore equal to r/3.<BR>\n" );
document.write( "his total revenue is equal to 2x * r/3 which is equal to 2xr/3.<BR>\n" );
document.write( "he has a total revenue of 2xr/3.<BR>\n" );
document.write( "he has a total cost of 7xr/12.<BR>\n" );
document.write( "his total profit is equal to his total revenue minus his total cost.<BR>\n" );
document.write( "this becomes 2xr/3 - 7xr/12 which becomes xr/12.<BR>\n" );
document.write( "his rate of profit is equal to his total profit divided by his total cost.<BR>\n" );
document.write( "this becomes xr/12 divided by 7xr/12.<BR>\n" );
document.write( "this is equivalent to xr/12 times 12/7xr which results in a rate of profite of 1/7.<BR>\n" );
document.write( "if his rate of profit is 1/7, then his percent profit is equal to 100% times that.<BR>\n" );
document.write( "his percent profite would therefore be 100/7% which is equal to 14.28571429%.<BR>\n" );
document.write( "that is not one of your selections, but 100/7 is, so your answer is 100/7 which is selection D.<BR>\n" );
document.write( "you can confirm this by plugging in some numbers.<BR>\n" );
document.write( "suppose he buys 12 mangoes at 3 mangoes per rupee.<BR>\n" );
document.write( "he pays 12/3 = 4 rupees.<BR>\n" );
document.write( "suppose he then buys 12 mangoes at 4 mangoes per rupee.<BR>\n" );
document.write( "he pays 12/4 = 3 rupees.<BR>\n" );
document.write( "his total cost is 7 rupees.<BR>\n" );
document.write( "he now sell all 24 mangoes at 3 mangoes per rupee.<BR>\n" );
document.write( "he collects 24/3 = 8 rupees.<BR>\n" );
document.write( "his revenue is 8 rupees.<BR>\n" );
document.write( "his cost is 7 rupees.<BR>\n" );
document.write( "his profit is 1 rupee.<BR>\n" );
document.write( "his rate of profit is 1/7<BR>\n" );
document.write( "his percent profit is 100/7<BR>\n" );
document.write( "number check out so the formulas are good.<BR>\n" );
document.write( " </SPAN>\n" );
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