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3:   (Calculation of  Sacrifice Ratio and New Ratio)
                 Pravin and Navin are partners sharing profits in the ratio of 7:3  They admit Reena for 1/5
                                                                                                            th
            share of profit which he takes equally from  Pravin and Navin. Calculate sacrifice ratio and new
            profit sharing ratio.
                 Reena’s share                  =  1/5
                 Sacrifice Ratio of P and Q     =  1:1 or 1/2:1/2
                 Pravin’s Sacrifice             =  1/5 × 1/2 = 1/10
                 Navin’s Sacrifice              =   1/5 ×  1/2 = 1/10
                       New Ratio                =  Old Ratio - Sacrifice Ratio
                 New Share of Pravin            =  7 /10 - 1/10 = 6 / 10

                 New share of Navin             =   3 / 10 - 1/10 = 2 / 10
                 Reena’s share  = 1/5 share     =   2/10
                                     th
                 Therefore, New Ratio is 6:2:2  =   3:1:1


            4:   (Calculation of  Sacrifice Ratio and New Ratio)
                 X and Y are  partners sharing profits in the ratio 7:3. X surrenders  1/7th of his share and Y
            surrenders 1/3rd  of his share in favour of Z, a new partner.  Calculate new ratio and sacrificing ratio.

                 Old Ratio of X and Y  =  7:3 or 7/10 : 3 /10
                 X’s Sacrifice          =  1/7 ×  7/10 = 1/10
                 Y’s Sacrifice          =  1/3 ×  3/10 = 1/10
                 Sacrificing ratio of X and Y = 1/10 :1/10 or 1:1
                 Z’s share = X’s share + Y’s share  = 1/10 + 1/10 = 2/10

                 X’s  New share = Old ratio - Sacrifice ratio  = 7/10 - 1/10 = 6/10
                 Y’s  New share = Old ratio - Sacrifice ratio  = 3/10 - 1/10 = 2/10

                 Therefore, New Ratio of X, Y and Z = 6:2:2 = 3:1:1

            3.2.5
            Meaning of Goodwill :
                 Goodwill is the benefit, name, fame, reputation, image of a business which ultimately helps the
            business to earn more profits. It is also because of the honesty, business ethics and hard work done
            by all the partners in the past years. Good will is calculated on the basis of part performances.
            3.2.5.1
                 There are various methods of valuation of goodwill. For Std 12th following two main meth-
                 ods are included:
            1)   Average Profit Method
                 Under this method goodwill is calculated on the average basis of the past number of years of
            profit. It is assumed that  the firm will maintain average profit for next certain years also and so the
            goodwill is calculated on the basis of certain number of years purchase of average profit.
                 Goodwill can be calculated as per this method by following these steps
            i)   Calculation of total profit
                 Total Profit is calculated by adding the profits of the previous years and deducting the losses, if
                 any.

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