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Solution 8.3
            Hire purchase interest                                                      TZS

            Hire purchase price                                                   13,020,000
            Less: Cash price                                                      12,400,000

            Hire purchase interest                                                   620,000
          FOR ONLINE READING ONLY
           (a)  Number of instalments to be apportioned with interest is 4:

                       LANGUAGE EDITING
                                          1
                                  nn + h
                                    ^
               Sum of digits =
                                      2
 LANGUAGE EDITING
                          1
                   44 + h
                    ^
               =             =  10
                       2
           HP Interest payable per instalment is calculated as follows:
                                                                 Hire purchase interest per
                                     Digit     Digit assigned/
                    Date                                                  instalment
                                   assigned     Sum of digits
                                                                             TZS
            31  December 2022          4              4          = 620,000#   4  =  248 ,000
               st
                                                      10                      10
            31  December 2023          3              3          = 620,000#   3  =  186 ,000
               st
                                                      10                      10
            31  December 2024          2              2          = 620,000#   2  =  124 ,000
               st
                                                      10                      10
            31  December 2025          1              1           = 620,000#   1  =  62 ,000
               st
                                                      10                      10
            Total                                                                               620,000

           (b)  If the first instalment is paid together with the down payment, then, the remained
                number of instalments to be charged interest becomes three (3) instead of four (4).
                Hence, the sum of digits will be:

                                             1
                                                           1
                                                      ^
                                      nn + h        33 + h
                                       ^
                   Sum of digits =               =             =  6
                                          2             2











            Student’s Book Form Five
                                                   239




                                                                                            23/06/2024   17:36
     ACCOUNTANCY_DUMMY_23 JUNE.indd   239                                                   23/06/2024   17:36
     ACCOUNTANCY_DUMMY_23 JUNE.indd   239
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