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Chapter 5  Admission of a Partner  5.27
                                                                                .
                     Working Notes:
                      1.  New Profit-Sharing Ratio is calculated as under:
                         Let total profit be = 1
                        D gets = 1/6th share
                         Remaining profit = 1 – 1/6 = 5/6 will be shared by A, B and C in their old profit-sharing ratio.
                        A’s share = 5/6 × 2/10 = 2/12
                        B’s share = 5/6 × 3/10 = 3/12
                        C’s share = 5/6 × 5/10 = 5/12
                         Thus, New Profit-sharing Ratio of A, B, C and D = 2/12 : 3/12 : 5/12 : 1/6 or 2 : 3 : 5 : 2.
                      2.  Adjustment of Capital:
                         For 1/6th share D brought capital = ` 32,000
                        ∴ Total capital of the New firm = ` 32,000 × 6/1 = ` 1,92,000
                        A’s Capital = ` 1,92,000 × 2/12 = ` 32,000;  C’s Capital = ` 1,92,000 × 5/12 = ` 80,000
                        B’s Capital = ` 1,92,000 × 3/12 = ` 48,000;  D’s Capital = ` 1,92,000 × 2/12 = ` 32,000.
                     Illustration 19 (Admission-cum-Death: Treatment of Goodwill).
                     A and  B  are  partners  in  a  firm  sharing  profits  in  the  ratio  of  3  :  2.  They  admitted  C as a
                     partner for 1/5th share of profit on 1st April, 2018. He brings ` 4,500 as a premium out of
                     his share of ` 6,000. On the same date B died. According to his will, the executors should
                     donate his share to a school for providing scholarships to the students.
                       Pass Journal entries to give effect to the above.
                     Solution:
                                                           JOURNAL

                     Date     Particulars                                          L.F.   Dr. (`)   Cr. (`)
                     2018
                     April   1  Cash A/c                                     ...Dr.       4,500
                                To  Premium for Goodwill A/c                                        4,500
                             (C brings only a part of his share of goodwill)
                     April   1  Premium for Goodwill A/c                     ...Dr.       4,500
                             C’s Current A/c                                 ...Dr.       1,500
                             A’s Capital A/c                                 ...Dr.       6,000
                               To  B’s Capital A/c                                                 12,000
                             (Sacrificing partner (B) compensated with the share of goodwill)
                     Working Notes:
                       1.  Calculation of Gaining/Sacrificing Share:
                                                  A              B             C
                         (i)  Old Share           3/5           2/5           ...
                          (ii)  New Share         4/5           ...           1/5
                         Sacrifice/(Gain) (i – ii)   –1/5 (Gain)   2/5 (Sacrifice)   –1/5 (Gain)
                      2.  Calculation of Share of Goodwill:
                         For 1/5th Share of C, Goodwill = ` 6,000
                         Value of Firm’s Goodwill = ` 6,000 × 5/1 = ` 30,000
                         For 2/5th sacrifice of B, value of Goodwill = ` 30,000 × 2/5 = ` 12,000
                         For 1/5th Gain of A, value of Goodwill = ` 30,000 × 1/5 = ` 6,000.
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