document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964071>Question 964071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pure milk costs Rs. 12 per litre. A milkman add some water to 16 litres of pure milk and sells the mixture at<BR>\n" );
document.write( "Rs. 10 per litre by making 25% profit. How many litres of water does he added? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589109 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=589109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the cost of pure milk is 12 rupees.\r<BR>\n" );
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document.write( "milkman adds water to 16 liters of pure milk and sells the mixture at 10 rupees per liter.\r<BR>\n" );
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document.write( "he makes a 25% profit.\r<BR>\n" );
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document.write( "how many liters of water does he add?\r<BR>\n" );
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document.write( "if he sells the milk for 10 rupees per liter and he makes a 25% profit, then the cost of the mixture to him must be 8 rupees because 8 * 1.25 = 10.\r<BR>\n" );
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document.write( "if 1 liter of milk costs 12 rupees, then x liters of milk will cost 8 rupees.\r<BR>\n" );
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document.write( "set up a ratio as shown below:\r<BR>\n" );
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document.write( "8/12 = x/1\r<BR>\n" );
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document.write( "this ratio says that 8 rupees is to 12 rupees as x liters of pure milk is to 1 liter of pure milk.\r<BR>\n" );
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document.write( "solve the ratio to get x = 8/12 = 2/3.\r<BR>\n" );
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document.write( "he needs to have 2/3 liters of pure milk in the mixture.\r<BR>\n" );
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document.write( "the rest is water.\r<BR>\n" );
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document.write( "each liter of the mixture will be 2/3 liters of pure milk plus 1/3 liters of water.\r<BR>\n" );
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document.write( "the cost to him will be 2/3 * 12 = 8 rupees plus 1/3 * 0 = 0 rupees for the water for a total cost of 8 rupees.\r<BR>\n" );
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document.write( "he sells the mixture for 10 rupees.\r<BR>\n" );
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document.write( "his profit is 2 rupees.\r<BR>\n" );
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document.write( "profit / cost = 2/8 = 25% profit.\r<BR>\n" );
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document.write( "milkman had a total of 16 liters of pure milk.\r<BR>\n" );
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document.write( "the 16 liters of pure milk is equal to 2/3 of the mixture.\r<BR>\n" );
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document.write( "16 = 2/3 * y, where y is the number of liters of the mixture.\r<BR>\n" );
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document.write( "solve for y to get y = 3/2 * 16 = 24 liters of the mixture.\r<BR>\n" );
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document.write( "he sold 24 liters of the mixture.\r<BR>\n" );
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document.write( "he added 24 - 16 = 8 liters of pure water.\r<BR>\n" );
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document.write( "24 liters of the mixture at 10 dollars per liter of the mixture is equal to 240 rupees.\r<BR>\n" );
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document.write( "his cost was 16 * 12 = 192 rupees.\r<BR>\n" );
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document.write( "his profit was 240 - 192 = 48 rupees.\r<BR>\n" );
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document.write( "his percent profit was 48 / 192 * 100 = 25%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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