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Goodwill: Concept and Mode of Valuation                                         2.7

                                             CALCULATION OF WEIGHTED AVERAGE PROFIT
                              Year Ended              Profits (`)        Weights           Product (`)
                            31st March, 2017          1,54,000              1               1,54,000
                            31st March, 2018          1,55,000              2               3,10,000
                            31st March, 2019          2,35,900              3               7,07,700
                            31st March, 2020          2,27,910              4               9,11,640
                                 Total                7,72,810             10              20,83,340

                     Weighted Average profit =   ` 20 83 340,  ,  = ` 2,08,334.
                                                  10
                      (a)  Goodwill  = Weighted Average Profit × Number of Years’ Purchase
                                  = ` 2,08,334 × 3 = ` 6,25,002.
                       Working Notes:
                       1.  ` 48,000 deducted as annual charge to cover management cost Or we can deduct one year’s cost from
                        Average Profit.
                       2.  ` 22,000 was wrongly credited to Profit and Loss Account on proceed from sale of machinery. ` 1,000
                        added back on account of depreciation in the year 2017–18, ` 1,900 is added back in the year 2018–19
                        and ` 1,710 is added back in the year 2019–20.
                       3.  Closing stock is overvalued by  ` 24,000 in Financial year 2017–18 which is deducted and added in
                        financial year 2018–19 because opening stock is overvalued because of which profit is reduced.
                       4.  A major repair of plant costing  ` 60,000 was wrongly charged to revenue. Depreciation is charged
                        @ 10% p.a. on written down value method.

                      (b)  Average Profit =   ` 772 810,  ,   = ` 1,93,203.
                                            4
                         Goodwill = Average Profit × Number of Years’ Purchase
                                  = ` 1,93,203 × 3 = ` 5,79,609.
                      (c)  Super Profit = Average Profit – Normal Profit
                                                  Ê
                                                             10 ˆ
                                    = ` 1,93,203 –  300 000,  ,  ¥ 100 ¯ ˜  = ` 1,63,203.
                                                  Á
                                                  Ë
                         Goodwill  = Super Profit × Number of Years’ Purchase
                                  = ` 1,63,203 × 3 = ` 4,89,609.
                       (d)  Goodwill  =   SuperProfit  ¥100
                                    NormalRate of Return

                                  =  `163 203¥ 100  = ` 16,32,030.
                                      ,
                                        ,
                                             10
                      (e)  Capitlised Value of the Firm  =   AverageProfit  ¥100
                                                      Normal Rate of Return
                                                     `193 203 100,  ,  ¥
                                                    =              = ` 19,32,030
                                                          10
                         Net Assets = ` 3,00,000 (Assets – Liabilities)
                         Goodwill = Capitalised Value of Firm – Net Assets
                                  = ` 19,32,030 – 3,00,000 = ` 16,32,030.
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