document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251903>Question 251903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much is the difference in the sale price if a 20% off coupon is used first and then a 25% off coupon is used versus using the 25% off coupon first and then the 20% off coupon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183609 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the cost of the merchandise equal x<BR>\n" );
document.write( "First of all,<BR>\n" );
document.write( "I know of no stores that allow use of two coupons on one product so this exercise is moot( useless).<BR>\n" );
document.write( "You might have store discount (sale price) and a coupon at the same time.<BR>\n" );
document.write( "At any rate for math fun, let's act as if this is a real problem.<BR>\n" );
document.write( ".20x is the discount<BR>\n" );
document.write( "and .80 is the price after the discount<BR>\n" );
document.write( ".25x is the discount <BR>\n" );
document.write( "and .75x is the price after the discount\r<BR>\n" );
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document.write( "so in the first case we have <BR>\n" );
document.write( ".80x and on top of that 25 %discount<BR>\n" );
document.write( "so we now have .75(.80x)<BR>\n" );
document.write( "in the second case we have <BR>\n" );
document.write( ".75x and on top of that 20 % discount<BR>\n" );
document.write( ".80*.75x<BR>\n" );
document.write( "let's compare<BR>\n" );
document.write( ".75*(.80x) vs .80*(.75x)<BR>\n" );
document.write( "They are identical since .75*.80 =.80*.75=.60=60%<BR>\n" );
document.write( ".75*.80=(3/4)*(4/5)=3/5=60%<BR>\n" );
document.write( ".80*.75=(4/5)*(3/4)=3/5=60%<BR>\n" );
document.write( "That is 40% discount where we pay only 60% of the original price.\r<BR>\n" );
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document.write( "It does make a difference if you have $10.00 off coupon and also 20%<BR>\n" );
document.write( " discount.<BR>\n" );
document.write( "Since the 10 dollars doesn't change it makes a difference where it is applied.\r<BR>\n" );
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document.write( "Let's say we have 20% off store sale and a 10.00 off coupon. original price $100.00 <BR>\n" );
document.write( "If we do the 20% off first<BR>\n" );
document.write( ".80*100=80 now take away the 10 dollars=70 dollars<BR>\n" );
document.write( "if we take the 10 dollars off first<BR>\n" );
document.write( "100-10=90<BR>\n" );
document.write( ".80*90=72<BR>\n" );
document.write( "72 does not equal 70<BR>\n" );
document.write( "So there is a difference in applying discounts but not two percentage discounts.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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