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CH 13]                            Calculating Business                                 13-3




                      values; in this case from first to last (1-n, stated as “one to n”) of the discounts   Sigma — 
                      listed.                                                                      The capital

               Example A:    Calculate the net price of merchandise listed at $800 less a discount of 25%.   Greek letter
                                                                                                   Sigma in
               Solution algorithm:                                                                 mathematics is
                                                                                                   used to denote
                                $800 list price (or invoice price)   x 25%  =
                                      (as a decimal)    $800   x 0.25  =  $200                     or instruct that
                                                                                                   all numbers of
                                                                                                   the set are
                                    $800   List Price
                                  − $200   Discount as a percent                                   added together
                                                                                                   for a Total Sum.
                                    $600   Net Price

               With your hand held calculator and using the    %    key:

                Solution:     Cl/C   800   −     25     %       —> 600      —> means $600


               Without the   %    key with the percent as a decimal:

               Solution:    Cl/C  .25   X   800   M+    800    −    MR    =   600   —> means $600


               Example B:    Calculate the net price of merchandise listed at $800 less a discount of 25%.
                                                                                                                13
               Solution algorithm:                                  Compliment
                                $800 list price (or invoice price)   x  (100%  − 25%=) 75%   =
                                 (as a decimal)         $800   x     0.75               = $600

               With your hand held calculator and using the    %    key:

                                 Solution:     Cl/C   800    x     75     %    —> 600   —> means $600


                      Without   %    key:

                                   Solution:    Cl/C  1    −    .25   X    800    =    600   —> means $600


               Example C:    Calculate the net price of merchandise listed at $800 less a volume discount
                             of 13%, a duty discount of 9%, and a cash discount of 8%.

               Solution algorithm:
                             List price  D1-n = net price

                      $800 list price (or invoice price)     (100% −  (13%, 9%, 8%) )   =
                      $800 list price (discounts as decimals)      (1.00 −  (0.13 + 0.09 + 0.08) ) =
                      Compliment calculation  $800                 (1.00 – 0.30)       =
                      Compliment              $800                0.70                 =  $560

               With your hand held calculator and using the    %    key:


                              Solution:     Cl/C   800   x     70     %    —> 560    —> means $560

                                                     — OR —

                              Solution:     Cl/C   800   −     30     %     —> 560   —> means $560
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