document.write( "Question 168781: Find the decimal equivalent of the new price for a 40/15/5 series trade discount. \n" ); document.write( "
Algebra.Com's Answer #124431 by gonzo(654)\"\" \"About 
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as best i can determine, a 40/15/5 series trade discount would be calculated as follows:
\n" ); document.write( "let x = retail price.
\n" ); document.write( "x - .40*x = y = first discounted price.
\n" ); document.write( "y - .15*y = z = second discounted price.
\n" ); document.write( "z - .05*z = t = total discounted price.
\n" ); document.write( "-----
\n" ); document.write( "x - .4*x = (1-.4)*x = .6*x = y
\n" ); document.write( "y - .15*y = (1-.15)*y = .85*y = z
\n" ); document.write( "z - .05*z = (1-.05)*z = .95*z = t
\n" ); document.write( "----
\n" ); document.write( "since z = .85*y, then .95*z = .95*.85*y
\n" ); document.write( "since y = .6*x, then .95*z = .95*.85*.6*x
\n" ); document.write( "-----
\n" ); document.write( "based on the above, then t = total discount = .95*.85*.6*x = .4845*x
\n" ); document.write( "40/15/5 series discount is equivalent to a total discount of 48.45%
\n" ); document.write( "-----
\n" ); document.write( "first discount is taken off the retail price.
\n" ); document.write( "second discount is taken off the first discount price.
\n" ); document.write( "third discount is taken off the second discount price.
\n" ); document.write( "-----
\n" ); document.write( "example:\r
\n" ); document.write( "\n" ); document.write( "retail price = $20,192.00
\n" ); document.write( "first discount price = .6 * $20,192.00 = $12,115.20
\n" ); document.write( "second discount price = .85 * $12115.20 = $10,297.92
\n" ); document.write( "third discount price = .95 * $10,297.92 = $9,783.02
\n" ); document.write( "-----
\n" ); document.write( "overall discount price = .4845 * $20,192.00 = $9,783.02
\n" ); document.write( "-----
\n" ); document.write( " \n" ); document.write( "
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