WISKUNDIGE GELETTERDHEID
GRAAD 11
NOG OEFENINGE
  
Kosprys, verkoopprys en wins : antwoorde.
  
MATHEMATICAL LITERACY
GRADE 11
MORE EXERCISES
  
Cost-price, selling-price and profit : answers.
  
  
Antwoorde / Answers 1
  
    
  1.1  VP/SP = KP/CP + W/P
  
                       = KP/CP + W/P% × KP/CP
  
                                                             45
                       = R 23,10 + 23,10 X ────   
                                                            100
  
                       = R 33,50
  
          a = R 33,50                                                      [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                 = R 33,50 ─ R 23,10
  
                   = R 10,40
  
          b = R 10,40
  
                 OF / OR
  
          W/P = W/P% X KP/CP
  
                                        45
                = R 23,10 X ────
                                       100
  
                   = R 10,40
  
          b = R 10,40                                                      [ 1. ]
  
  
  
    
  1.3  VP/SP = KP/CP + W/P
  
                       = R 1 186,00 + R 395,29
  
                       = R 1 581,29
  
          e = R 1 581,29                                                 [ 1. ]
  
  
                                 W/P  X  100
                W/P% = ──────────
                                    KP/CP
  
                                 395,29  X  100
                            = ──────────
                                    1 186
  
                            = 33,33%
  
          f = 33,33%                                                        [ 1. ]
  
  
  
    
  1.5  KP/CP = VP/SP ─ W/P
  
                       = R 63,18 ─ 34,46
  
                       = R 28,72
  
          k = R 28,72                                                      [ 1. ]
  
  
                           W/P  X  100
          W/P% = ──────────
                                VP/SP ─ W/P
  
                          34,46  X  100
                      = ──────────
                                63,18 ─ 34,46
  
                            = 119,99%
  
          m = 120,00%                                                  [ 1. ]
  
  
  
    
  1.7  VP/SP = KP/CP + W/P
  
                      = KP/CP + KP/CP X WP%
  
                      = KP/CP(100 + WP%)
  
  
                              100 X VP/SP
           KP/CP = ───────────
                             (100 + WP%)
  
  
                              100 X 171,82
                       = ───────────
                             (100 + 38,5)
  
  
                       = 124,06
  
          q = R124,06                                                     [ 1. ]
  
  
           W/P = VP/SP ─ KP/CP
  
                   = R 171,82 ─ 124,06
  
                   = R 47,76
  
          r = R 47,76                                                       [ 1. ]
  
  
    
  1.9  VP/SP = KP/CP + W/P
  
                      = KP/CP + W/P% × KP/CP
  
                                                       33
                      = R 2,75 + 2,75 X ────   
                                                      100
  
                      = R 3,66
  
          u = R 3,66                                                         [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 3,66 ─ R 2,75
  
                   = R 0,91
  
          v = R 0,91
  
                 OF / OR
  
          W/P = W/P% X KP/CP
  
                                        33
                  = R 2,75 X ────
                                       100
  
                  = R 0,91
  
          v = R 0,91                                                      [ 1. ]
  
  
  
    
  1.11  KP/CP = VP/SP ─ W/P
  
                      = R 14 424,74 ─ R 1 881,49
  
                      = R 12 543,25 
  
             y = R 12 543,25                                         [ 1. ]
  
  
  
                           W/P X 100
          W/P% = ─────────
                             KP/CP
  
                            1 881,49 X 100
                      = ────────────
                                 12 543.25
  
                      = 15 %
  
  
              z = 15 %                                                    [ 1. ]
  
  
  
    
                              100 X VP/SP
  1.13   KP/CP = ───────────          sien / see 1.7
                              (100 + WP%)
  
  
                               100 X 524,20
                         = ───────────
                                (100 + 320)
  
  
                         = 124,81
  
          cc = R 124,81                                                     [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 524,20 ─ R 124,81
  
          bb = R 399,39                                                     [ 1. ]
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
    
  1.15  KP/CP = VP/SP ─ W/P
  
                      = R 65,24 ─ R 21,16
  
                      = R 44,08 
  
             hh = R 44,08                                                [ 1. ]
  
  
  
                           W/P X 100
          W/P% = ─────────
                             KP/CP
  
                            21,16 X 100
                      = ────────────
                                 44,08
  
                      = 48 %
  
  
              gg = 48 %                                                   [ 1. ]
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  1.2  VP/SP = KP/CP + W/P
  
                       = KP/CP + W/P% × KP/CP
  
                                                                 40
                       = R 871,20 + 871,20 X ────   
                                                                100
  
                       = R 1 219,68
  
          c = R 1 219,68                                                      [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 1 219,68 ─ R 871,20
  
                   = R 348,48
  
          d = R 348,48
  
                 OF / OR
  
          W/P = W/P% X KP/CP
  
                                             40
                   = R 871,10 X ────
                                            100
  
                   = R 348,48
  
          d = R 348,48                                                      [ 1. ]
  
  
  
    
  1.4  VP/SP = KP/CP + W/P
  
                       = R 43,60 + R 10,90
  
                       = R 54,50
  
          g = R 54,50                                                 [ 1. ]
  
  
                                 W/P  X  100
                W/P% = ──────────
                                    KP/CP
  
                                 10,90  X  100
                            = ──────────
                                    43,60
  
                            = 25%
  
          h = 25%                                                        [ 1. ]
  
  
  
  
  1.6  KP/CP = VP/SP ─ W/P
  
                       = R 515,21 ─ 202,96
  
                       = R 312,25
  
          n = R 312,25                                                [ 1. ]
  
  
                           W/P  X  100
          W/P% = ──────────
                                 KP/CP
  
                          202,96  X  100
                      = ──────────
                                312,25
  
                            = 65,00%
  
          p = 65,00%                                                  [ 1. ]
  
  
  
    
  1.8  VP/SP = KP/CP + W/P
  
                      = KP/CP + KP/CP X WP%
  
                      = KP/CP(100 + WP%)
  
  
                              100 X VP/SP
           KP/CP = ───────────
                             (100 + WP%)
  
  
                              100 X 61,07
                       = ───────────
                             (100 + 14,2)
  
  
                       = 53,48
  
          s = R53,48                                                     [ 1. ]
  
  
           W/P = VP/SP ─ KP/CP
  
                   = R 61,07 ─ 53,48
  
                   = R 7,59
  
          t = R 7,59                                                       [ 1. ]
  
  
    
  1.10  VP/SP = KP/CP + W/P
  
                        = R 8,36 + R 2,76
  
                        = R 11, 12
  
              w = R 11, 12                                              [ 1. ]
  
  
  
  
  
                           W/P X 100
          W/P% = ─────────
                             KP/CP
  
                           2,76 X 100
                      = ─────────
                                 8,36
  
                      = 33,01 %
  
  
              x = R 11, 12                                              [ 1. ]
  
  
  
  
  
  
  
  
  
  
  
    
                              100 X VP/SP
  1.12   KP/CP = ───────────          sien / see 1.7
                              (100 + WP%)
  
  
                               100 X 39,89
                         = ───────────
                                (100 + 40)
  
  
                         = 28,47
  
          aa = R 28,47                                                     [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 39,89 ─ R 28,47
  
          bb = R 11,40                                                     [ 1. ]
  
  
  
  
  
  
    
  1.14  VP/SP = KP/CP + W/P
  
                        = KP/CP + W/P% × KP/CP
  
                                                              65
                        = R 22,39 + 22,39 X ────   
                                                             100
  
                        = R 36,94
  
          ee = R 36,94                                                    [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 36,94 ─ R 22,39
  
                   = R 14,55
  
          ff = R 14,55
  
  
                 OF / OR
  
          W/P = W/P% X KP/CP
  
                                        65
                  = R 22,39 X ────
                                       100
  
                  = R 14,55
  
          ff = R 14,55                                                     [ 1. ]
  
  
  
    
  1.16  VP/SP = KP/CP + W/P
  
                        = KP/CP + W/P% × KP/CP
  
                                                              250
                        = R 27,08 + 27,08 X ────   
                                                             100
  
                        = R 94,78
  
          kk = R 94,78                                                [ 1. ]
  
  
          W/P = VP/SP ─ KP/CP
  
                   = R 94,78 ─ R 27,08
  
                   = R 67,70
  
          ff = R 67,70
  
  
                 OF / OR
  
  
          W/P = W/P% X KP/CP
  
                                        250
                  = R 27,08 X ────
                                       100
  
                  = R 67,70
  
          ff = R 67,70                                               [ 1. ]
  
  
  
  
Antwoorde / Answers 2
  
    
  2.1  W/P = VP/SP ─ KP/CP
  
                  = R 78,61  ─  R58,23
  
                  = R 20,38
  
  
                 OF / OR
  
          W/P = KP/CP X W/P%
  
                                           35
                  = R 58,23 X ────
                                         100
  
                  = R 20,38
  
               a = R 20,38                                                [ 2 ]
  
  
           A/D = A/D%  X  VP/SP
  
                          10
                   =  ────  X  R 78,61
                         100
  
                   = R 7,86
  
               b = R 7,86                                                [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 78,61  ─  R 7,86
  
                          = R 70,75
  
               c = R 70,75                                                [ 2 ]
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                          = R 70,75  ─  R 58,23
  
                          = R 12,52
  
               d = R 12,52                                                [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 12,52         100
                          =  ─────  X  ────  
                                 58,25          1
  
                          =  22,5%
  
               e =  22,5%                                                [ 2 ]
  
  
    
  2.3  W/P = VP/SP ─ KP/CP
  
                  = R 2,77  ─  R2,08
  
                  = R 0,69
  
  
                 OF / OR
  
          W/P = KP/CP X W/P%
  
                                         33,33
                  = R 2,77  X  ─────
                                          100
  
                  = R 0,69
  
               n = R 0,69                                                [ 2 ]
  
  
           A/D = VP/SP  X  A/D%
  
                                            15
                   =  R 2,77  X  ────
                                           100
  
                   = R 0,42
  
               p = R 0,42                                                [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 2,77  ─  R 0,42
  
                          = R 2,35
  
               q = R 2,35                                                [ 2 ]
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 2,35  ─  R 2,08
  
                      = R 0,27
  
               r = R 0,27                                                [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 0,27           100
                          =  ─────  X  ────  
                                 2,08             1
  
                          =  12,98%
  
               s =  12,98%                                                [ 2 ]
  
  
    
                               W/P           100
  2.5   W/P%  =  ─────  X  ────  
                            KP/CP           1
  
                              53,32         100
                        =  ─────  X  ────  
                                86               1
  
                        =  62,00%
  
               y =  62,00%                                                [ 2 ]
  
  
                             A/D           100
          A/D%  =  ─────  X  ────  
                           VP/SP          1
  
                             16,72           100
                      =  ──────  X  ────  
                            139,32            1
  
                      =  12,00%
  
               z =  12,00%                                              [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 139,32  ─  R 16,72
  
                          = R 123,00
  
               aa = R 123,00                                                [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 123,00  ─  R 86,00
  
                      = R 37,00
  
               bb = R 37,00                                                  [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 37,00         100
                          =  ─────  X  ────  
                                 86,00           1
  
                          =  43,02%
  
               cc =  43,02%                                                [ 2 ]
  
  
  
  
    
  2.7  VP/SP = KP/CP + W/P
  
                  = R 832,42  ─  R1 248,63
  
                  = R 2 081,05
  
  
                 OF / OR
  
          VP/SP = KP/CP  + KP/CP  X W/P%
  
                       = KP/CP(1  + W/P%)
  
                                              150
                  = R 832,42(1 + ────  )
                                              100
  
                  = R 2 081,05
  
               kk = R 2 081,05                                           [ 2 ]
  
  
           A/D = VP/SP  X  A/D%
  
                                                    25
                   =  R 2 081,05  X  ────
                                                  100
  
                   = R 520,26
  
               mm = R 520,26                                            [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 2 081,05  ─  R 520,26
  
                          = R 1 560,79
  
               nn = R 1 560,79                                           [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 1 560,79  ─  R 832,00
  
                      = R 728,79
  
               pp = R 728,79                                            [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                               728,79        100
                          =  ─────  X  ────  
                               832,00          1
  
                          =  87,59%
  
               qq =  87,59%                                             [ 2 ]
  
  
  
  
    
  2.9  VP/SP = KP/CP + W/P
  
                      = R 8,64  ─  R4,75
  
                      = R 13,39
  
  
                 OF / OR
  
          VP/SP = KP/CP  + KP/CP  X W/P%
  
                       = KP/CP(1  + W/P%)
  
                                                 55
                       = R 8,64(1 + ────  )
                                               100
  
                       = R 13,39
  
               kk = R 13,39                                                 [ 2 ]
  
  
           A/D = VP/SP  X  A/D%
  
                                                5
                   =  R 13,39  X  ────
                                             100
  
                   = R 0,67
  
               xx = R 0,67                                                  [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 13,39  ─  R 0,67
  
                          = R 12,72
  
               yy = R 12,72                                               [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 12,72  ─  R 8,64
  
                      = R 4,08
  
               zz = R 4,08                                                 [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 4,08         100
                          =  ─────  X  ────  
                                 8,64          1
  
                          =  47,22%
  
               ab =  47,22%                                             [ 2 ]
  
  
    
  2.2  W/P = VP/SP ─ KP/CP
  
                  = R 173,11  ─  R123,65
  
                  = R 49,46
  
  
                 OF / OR
  
          W/P = KP/CP X W/P%
  
                                            40
                  = R 123,65 X ────
                                           100
  
                  = R 49,46
  
               f = R 49,46                                                [ 2 ]
  
  
           A/D = VP/SP  X  A/D%
  
                                                12
                   = R 173,11   X  ────
                                               100
  
                   = R 20,77
  
               g = R 20,77                                                [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 173,11  ─  R 20,77
  
                          = R 152,34
  
               h = R 152,34                                                [ 2 ]
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 152,34  ─  R 123,65
  
                      = R 28,69
  
               k = R 28,69                                                [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 28,69         100
                          =  ─────  X  ────  
                                 123,65          1
  
                          =  23,20%
  
               e =  22,5%                                                [ 2 ]
  
  
    
                                    W/P           100
  2.4         W/P%  =  ─────  X  ────  
                                  KP/CP           1
  
                                   11,43         100
                             =  ─────  X  ────  
                                   13,45            1
  
                             =  84,98%
  
               t =  12,98%                                                [ 2 ]
  
  
                                    A/D           100
                A/D%  =  ─────  X  ────  
                                  VP/SP           1
  
                                    2,49           100
                             =  ─────  X  ────  
                                   24,88            1
  
                             =  10,01%
  
               u =  10,01%                                              [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 24,88  ─  R 2,49
  
                          = R 22,39
  
               v = R 22,39                                                [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 22,39  ─  R 13,45
  
                      = R 8,94
  
               w = R 8,94                                                [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                 8,94          100
                          =  ─────  X  ────  
                                13,45           1
  
                          =  66,47%
  
               x =  66,47%                                             [ 2 ]
  
  
  
  
  
  
    
                               W/P           100
  2.6   W/P%  =  ─────  X  ────  
                            KP/CP           1
  
                              662,40         100
                        =  ──────  X  ────  
                              207,00           1
  
                        =  320%
  
               dd =  320%                                             [ 2 ]
  
  
                             A/D           100
          A/D%  =  ─────  X  ────  
                           VP/SP          1
  
                            130,41          100
                      =  ──────  X  ────  
                            869,40            1
  
                      =  15%
  
               ee =  15%                                              [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 869,40  ─  R 130,41
  
                          = R 738,99
  
               ff = R 738,99                                                [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 738,99  ─  R 207,00
  
                      = R 531,99
  
               gg = R 531,99                                                  [ 2 ]
  
  
                                 NW/P         100
             NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                  531,99          100
                            =  ──────  X  ────  
                                  207,00             1
  
                            =  257%
  
               hh =  257%                                                [ 2 ]
  
  
  
  
    
  2.8  VP/SP = KP/CP + W/P
  
                      = R 906,88  +  R2 539,26
  
                      = R 3 446,14
  
  
                 OF / OR
  
          VP/SP = KP/CP  + KP/CP  X W/P%
  
                       = KP/CP(1  + W/P%)
  
                                                   280
                       = R 906,88(1 + ────  )
                                                   100
  
                       = R 3 446,14
  
               rr = R 3 446,14                                     [ 2 ]
  
  
           A/D = VP/SP  X  A/D%
  
                                                    32
                   =  R 3 446,14  X  ────
                                                  100
  
                   = R 1 102,76
  
               ss = R 1 102,76                                   [ 2 ]
  
  
           NVP/SP = VP/SP  ─  A/D
  
                          = R 3 446,14  ─  R 1 102,76
  
                          = R 2 343,38
  
               tt = R 2 343,38                                        [ 2 ]
  
  
  
           NW/P = NVP/SP  ─  KP/CP
  
                      = R 2 343,38  ─  R 906,88
  
                      = R 1 436,50
  
               uu = R 1 436,50                                     [ 2 ]
  
  
                                 NW/P         100
           NW/P%  =  ─────  X  ────  
                                 KP/CP          1
  
                                1 436,50         100
                          =  ───────  X  ────  
                                 906.88              1
  
                          =  158,40%
  
               vv =  158,40%                                             [ 2 ]
  
  
  
  
  
Antwoorde / Answers 3
  
    
  3.1.1   VP/SP = KP/CP  + KP/CP  X W/P%
  
                          = KP/CP(1  + W/P%)
  
                                                     10
                          = R 18,52(1 + ────  )
                                                    100
  
                          = R 20,37                                          [ 3 ]
  
  
  
  
  
  
  
  
  
  
    
  3.2.1   NKP/CP = KP/CP  + verhoging / increase
  
                          = KP/CP(1  + 70% van / of KP/CP)
  
                                                     70
                          = R 18,52(1 + ────  )
                                                    100
  
                          = R 31,48                                          [ 3 ]
  
  
    
  3.2.3   W/P = VP/SP  ─ KP/CP
  
                      = R 34,63  ─ R 31,48
  
                      = R 3,15
  
  
                              OF / OR
  
              W/P = KP/CP  X W/P%
  
                                                    10
                          = R 31,48  X  ────
                                                   100
  
                          = R 3,15                                     [ 3 ]
  
  
  
    
  3.1.2   W/P = VP/SP  ─ KP/CP
  
                      = R 20,37  ─ R 18,52
  
                      = R 1,85
  
  
                              OF / OR
  
              W/P = KP/CP  X W/P%
  
                                                    10
                          = R 18,52  X  ────
                                                   100
  
                          = R 1,85                                     [ 3 ]
  
  
  
    
  3.2.2   VP/SP = KP/CP  + KP/CP  X W/P%
  
                          = KP/CP(1  + W/P%)
  
                                                     10
                          = R 31,48(1 + ────  )
                                                    100
  
Antwoorde / Answers 4
    
  4.1  Verhoging / Increase  =  nuwe prys / new price  ─  ou prys / old price
  
                                              =  R5,75  ─  R5,40
  
                                              =  R0,35                                                                                       [ 4 ]
  
  
  
    
                                                                                             prysverhoging / increase in price           100
  4.2  Persentasie verhoging / Percentage increase  =  ──────────────────────   X   ────  %
                                                                                                         ou prys / old price                          1
  
  
                                                                                              0,35             100
                                                                                       =  ─────   X   ────  %
                                                                                              5,40               1
  
  
  
                                                                                       =  6,45 %                                                                                  [ 4 ]
  
  
  
    
  4.3  Nuwe prys / New price  =  ou prys / old price  +  12% van ou prys / 12% of old price
  
                                                                        12
                                                 = R 5,40    +  ────   X   5,40
                                                                       100
  
  
                                                 = R 5,40  + R 0,65
  
                                                 = R 6,05                                                                                                                         [ 4 ]
  
  
  

Antwoorde / Answers 5
    
  5.1  Nuwe eenheidsprys / New price per unit  =  ou prys / old price  +  12% van ou prys / 12% of old price
  
                                                                        8,75
                                                 = R 0,28    +  ────   X   5,40
                                                                       100
  
  
                                                 = R 0,28  + R 0,0245
  
                                                 = R 0,30                                                                                                                         [ 5 ]
  
  
    
  5.2  Nuwe koste / New cost  =  koste per eenheid / cost per unit  X  aantal eenhede / number of units
  
                                                 =  R 0,30   X  850
  
                                                 =  R 255,00                                                                                                                   [ 5 ]
  
  
  
Antwoorde / Answers 6
    
  6.1  Nuwe eenheidsprys / New price per unit  =  ou prys / old price  +  13,5% van ou prys / 13,5% of old price
  
                                                                        13,5
                                                 = R 0,66    +  ────   X   5,40
                                                                       100
  
  
                                                 = R 0,66  + R 0,0891
  
                                                 = R 0,75                                                                                                                   [ 6 ]
  
  
    
  6.2  Opsie 1  /  Option 1 :
  
    Nuwe eenheidsprys eerste jaar / New price per unit first year  =  ou prys / old price  +  30% van ou prys / 30% of old price
  
                                                                                                                                   30
                                                                                                          = R 0,75    +  ────   X   0,75
                                                                                                                                  100
  
  
                                                                                                          = R 0,75  + R 0,225
  
                                                                                                          = R 0,975
  
  
    Nuwe eenheidsprys tweede jaar / New price per unit second year  =  ou prys / old price  +  30% van ou prys / 30% of old price
  
                                                                                                                                   20
                                                                                                          = R 0,98    +  ────   X   0,98
                                                                                                                                  100
  
  
                                                                                                          = R 0,98  + R 0,196
  
                                                                                                          = R 1,18
  
  
          Opsie 2  /  Option 2 :
  
    Nuwe eenheidsprys / New price per unit  =  ou prys / old price  +  13,5% van ou prys / 13,5% of old price
  
                                                                        50
                                                 = R 0,75    +  ────   X   0,75
                                                                       100
  
  
                                                 = R 0,75  + R 0,375
  
                                                 = R 1,13
  
  
          Die eerste jaar kos opsie 1
          R1,13 - R0,98 = R0,15 minder per eenheid.
          Die tweede jaar kos opsie 1
          R1,18 - R1,13 = R0,05 meer per eenheid.
          Oor die twee jaar periode is Opsie 1 dus
          10 sent per eenheid goedkoper as opsie 2.
          Opsie 1 is dus die beste opsie.   
                                                                                       [ 6 ]
  
  
          During the first year option 1 costs
          R1,13 - R0,98 = R0,15 less per unit.
          During the second year option 1 costs
          R1,18 - R1,13 = R0,05 more per unit.
          Over the two year period Opsie 1 is thus
          10 cent per unit cheaper than Option 2.
          Option 1 is thus the better option.
                                                                                [ 6 ]
  
  
Antwoorde / Answers 7
    
  7.1  Maandelikse koste vir diesel / Monthly cost for diesel  =  8 000 ℓ  X  R14,94 per ℓ
  
                                                                                                   = R 119 520                                                               [ 7 ]
  
    
  7.2  Nuwe prys  / New price  =  ou prys / old price  +  verhoging / increase
  
                                                  = R 14,94  +  R 0,45
  
                                                  = R 15,39                                                                                                                    [ 7 ]
  
    
  7.3  Nuwe maandelikse koste vir diesel / New monthly cost for diesel  =  8 000 ℓ  X  R15,39 per ℓ
  
                                                                                                                      = R 123 120                                           [ 7 ]
  
    
  7.4  Persentasie verhoging - diesel / Percentage increase - diesel  

  
                                                                                              verhoging / increase           100
          Persentasie verhoging / Percentage increase  =  ───────────────  X  ────  %
                                                                                                ou prys / old price               1
  
                                                                                              0,45           100
                                                                                       =  ─────  X  ────  %
                                                                                             14,94            1
  
                                                                                       =  3,01 %
  
  
           Verhoging in maandelikse koste / Increase in monthly cost  =  R 123 120  ─  R 119 520
  
                                                                                                               = R 3 600
  
  
          Persentasie verhoging - maandelikse koste / Percentage increase - monthly cost  
  
  
                                                                                              verhoging / increase           100
          Persentasie verhoging / Percentage increase  =  ───────────────  X  ────  %
                                                                                                ou koste / old cost               1
  
                                                                                                3 600            100
                                                                                       =  ───────  X  ────  %
                                                                                             119 520             1
  
                                                                                       =  3,01 %                                                                               [ 7 ]