document.write( "Question 1208865: A television set that originally cost $1955 was reduced in price by successive discounts of 5%, 8% and 24%. What was the equivalent single rate of discount?
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Algebra.Com's Answer #847364 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "A television set that originally cost $1955 was reduced in price by successive discounts
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document.write( "Let X be the original cost, \"e\" be the equivalent discount for these three \r\n" );
document.write( "successive discounts, as a decimal value.\r\n" );
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document.write( "Then \r\n" );
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document.write( "    (1-e)X = (1-0.05)*(1-0.08)*(1-0.24)X.\r\n" );
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document.write( "Cancel X in both sides.  You will get\r\n" );
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document.write( "    1 - e = 0.95*0.92*0.76 = 0.66424,\r\n" );
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document.write( "    e = 1 - 0.66424 = 0.33576.\r\n" );
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document.write( "The equivalent discount is 0.33576,  or  33.576%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The answer does not depend on the original cost value, which is $1995 in this problem.\r
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