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Chapter 5  Admission of a Partner  5.15
                                                                                .
                     Working Notes:
                     1.  Calculation of New Profit-Sharing Ratio:
                        D joins the business for 1/8th share. Therefore, remaining 7/8th (i.e., 1 – 1/8)  share will be shared by the
                       old partners in their old ratio, i.e., 6 : 5 : 3 respectively. There fore, A’s New share = 6/14 × 7/8 = 42/112;
                       B’s New share = 5/14 × 7/8 = 35/112; C’s New share = 3/14 × 7/8 = 21/112; and D’s share = 1/8th or 14/112.
                        Thus, New Profit-sharing Ratio among A, B, C and D = 42 : 35 : 21 : 14 = 6 : 5 : 3 : 2.
                      2.  Determination of the Combined Capital of the New Firm:
                        Taking D’s Capital as base, the combined capital of the new firm is ` 7,000 × 8/1 = ` 56,000. Total capital
                       of the new firm will be contributed by the partners in their new profit-sharing ratio, i.e., 6 : 5 : 3 : 2.
                         Therefore, capitals of the partners in new firm will be:
                        A—` 21,000; B—` 17,500; C—` 10,500; D—` 7,000.

                     3. Dr.                         PARTNERS’ CAPITAL ACCOUNTS                        Cr.
                     Particulars      A      B     C      D     Particulars     A      B      C     D
                                      `      `     `      `                     `      `      `     `
                     To  Cash A/c   1,750   1,625   ...    ...   By  Balance b/d    19,000   16,000   8,000   ...
                        (Bal. Fig.)                             By  Cash A/c     ...    ...    ...   7,000
                     To  Balance c/d   21,000   17,500   10,500   7,000   By  Premium for
                        (WN 2)                                     Goodwill A/c   1,800   1,500   900   ...
                                                                By  P & L Adj.
                                                                   A/c         1,950  1,625   975    ...
                                                                By  Cash A/c     ...    ...   625    ...
                                                                   (Bal.  Fig.)
                                    22,750  19,125  10,500  7,000             22,750  19,125  10,500  7,000

                     Illustration 11.
                     Anil and Sunil are partners sharing profits and losses in the ratio of 3 : 2. They admit Charan
                     as a new partner from 1st April, 2018. Anil gives 1/3rd of his share while Sunil gives 1/10th
                     from his share to Charan. Their Balance Sheet as at 31st March, 2018, is given below:

                     Liabilities                         `      Assets                             `
                     Anil‘s Capital            32,600           Land and Building                   6,000
                     Sunil’s Capital           40,400   73,000   Investments                        5,000
                     Workmen’s Compensation Reserve      2,000   (Market Value ` 4,500)
                     Investments Fluctuation Reserve      1,000   Debtors                          30,000
                     Employees’ Provident Fund           1,000   Stock                             10,000
                     Provision for Doubtful Debts        1,000   Bank                              27,000
                                                        78,000                                     78,000
                     Terms of Charan’s admission are as follows:
                       (i)  Charan brings  `  30,000  as  his  capital.  His  share  of  Goodwill  was  determined  to  be
                          ` 18,000. He could bring in only 60% of his share.
                       (ii)  Land and Building was found to be undervalued by ` 10,000, stock was found overvalued
                          by ` 7,000 and provision for doubtful debts is to made equal to 5% of the debtors.
                      (iii)  Capital  Accounts  of  the  old  partners  to  be  re-adjusted  in  the  new  profit-sharing
                          arrangement on the basis of Charan’s Capital, any excess or deficiency to be adjusted
                          in cash.
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