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Hire purchase  interest payable per instalment is calculated as follows:

                                Digit       Digit assigned/     Hire purchase interest per
                 Date
                               assigned     Sum of digits            instalment: TZS

            31  December          3                3                           3
              st
            2017                                   6              =  620 ,00 #  6  =  310 ,000
          FOR ONLINE READING ONLY
            31  December          2                2                           2
              st
            2018                                   6              =  620 ,00 #  6  =  206 ,667

            31  December          1                1                            1
              st
            2019                                   6            =   620 ,000 #  6  =  103 ,333
                      LANGUAGE EDITING
            Total                                                                                620,000

               Exercise 8.3

            (1) Gulioni Ltd. acquired a photocopy machine from Chapakazi Ltd. on 1  January
                                                                                    st
                2020. The cash price was TZS 4,000,000 and the hire purchase price was TZS
                4,500,000. The down payment of TZS 1,500,000 was paid followed by two annual
                instalments of TZS 1,500,000 payable at the end of 31  December 2020 and 2021.
                                                                   st
                Hire purchase interest was 20 per cent per annum.
            Required: Calculate the annual interest payable for the years ended 31  December
                                                                                 st
            2020 and 2021 using the following method:
            (a) Straight line method;
            (b) Actuarial Method; and
            (c) Sum of year digits.
            (2) On 1  January 2022, Umoja Ltd. acquired an asset using hire purchasing on the
                    st
                following terms:
            Details                                                                     TZS
            Cash price                                                            10,000,000
            Down payment                                                           4,000,000
            Hire purchase price                                                   12,000,000
            Interest is 25% on outstanding balance
            Four (4) annual instalments, each at                                   1,500,000

            Required: Calculate the amount of interest to be included in each instalment using
                the following method:
                (a) Straight line method,
                (b) Actuarial Method, and
                (c) Sum of the year digits methods.




                                                                         Student’s Book Form Five
                                                   240



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