document.write( "Question 1165458: Mac's wholesale buys from a distributor which allows discounts of 25%, 20%, 5%.
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document.write( "A. What single discount ( called the single equivalent discount) would be equivalent to the above discounts?
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document.write( "B. Compare the above discounts to discounts of 30%, 20%. \n" );
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Algebra.Com's Answer #789955 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) (1-0.25)*(1-0.20)*(1-0.05) = 0.75*0.7*0.95 = 0.49875 = 1 - 0.50125.\r\n" ); document.write( "\r\n" ); document.write( " An equivalent single discount is 50.125%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) Two consecutive discounts of 30% and 20% make the equivalent discount \r\n" ); document.write( "\r\n" ); document.write( " (1-0.3)*(1-0.2) = 0.7*0.8 = 0.56 = 1 - 0.44\r\n" ); document.write( "\r\n" ); document.write( " of 44%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " So, three consecutive discounts of (a) are \"better\" than two consecutive discounts of (b).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see other numerous similar solved problems, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Percentage problems on chains of discounts \r \n" ); document.write( "\n" ); document.write( "in this site and have fun (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |