Page 502 - F2 - MA Integrated Workbook STUDENT 2018-19
P. 502

Chapter 18










                   Example 8




                   The average prices of four commodities, along with the number of units used
                   annually by a company, are given in the following table:
                                        Year 1           Year 2

                   Commodity           Price per        Price per        Quantity
                                          unit             unit
                                           $                $              Units

                   A                      10                11               10
                   B                      20                24               1
                   C                      50                52               5

                   D                      100              105               4

                   Calculate a weighted price index for year 2 based on year 1 using the
                   quantities given as weights.

                   Price index                  Quantity weighting  Total Price index × Quantity

                   A  11/10 × 100 = 110                  10                         1,100

                   B  24/20 × 100 = 120                   1                          120

                   C  52/50 × 100 = 104                   5                          520


                   D  105/100 × 100 = 105                 4                          420

                                                         20                         2,160

                   Weighted price index = 2,160/20 = 108




















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