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Admission of a Partner                                                         3.19

                     2. Calculation of New Profit-sharing Ratio:
                                                               1    3
                       Gopal is coming for 1/4th share. The remaining  1−  th=  th share will be divided between Angad and
                                                               4    4
                       Vivek in the ratio of 3 : 2. Therefore, the new profit-sharing ratio will be:
                       Angad’s Share of Profit = 3/5 of 3/4 = 9/20.
                       Vivek’s Share of Profit  = 2/5 of 3/4 = 6/20.
                       Gopal’s Share of Profit  = 1/4 = 5/20.
                       New Profit-sharing Ratio = 9/20 : 6/20 : 5/20 or 9 : 6 : 5.
                     3. Calculation of Proportionate Capital of Angad and Vivek on the basis of New Profit-sharing Ratio:

                                                    Capital of the New Partner (Gopal)
                       (i)  Total Capital of the New Firm =
                                                 Share of Profit of the Neew Partner (Gopal)
                                                 ` 20,000
                                               =         = ` 20,000 × 4/1  = ` 80,000.
                                                   1/4
                       (ii)  Angad’s Capital = ` 80,000 × 9/20 = ` 36,000
                           Vivek’s Capital  = ` 80,000 × 6/20 = ` 24,000.

                     Illustration 15.
                     Following is the Balance Sheet as at 31st March, 2018 of A and B, who share profits and
                     losses in the ratio of 3 : 2:
                     Liabilities                         `      Assets                             `
                     Capital A/cs:                              Plant and Machinery                10,000
                     A                          10,000          Land and Building                   8,000
                     B                          10,000   20,000   Debtors                 12,000
                     General Reserve                    15,000   Less: Provision for Doubtful Debts   1,000   11,000
                     Workmen’s Compensation Reserve      10,000   Stock                            12,000
                     Creditors                          10,000  Cash                                9,000
                                                                Profit and Loss A/c                 5,000
                                                        55,000                                     55,000

                       On 1st April, 2018, they agreed to admit C for 1/5th share of profits into partnership on
                     the following terms:
                       (i)  Provision for Doubtful Debts would be increased by ` 2,000.

                       (ii)  Value of Land and Building would be increased to ` 18,000.
                       (iii)  Value of Stock would be increased by ` 4,000.
                       (iv)  The liability against the Workmen’s Compensation Reserve is determined at ` 2,000.
                       (v)  C brought in as his share of goodwill ` 10,000 in cash.
                       (vi)  C would bring in further cash as would make his capital equal to 20% of the total
                          capital of the new firm after the above revaluation and adjustments are carried out.
                       Prepare Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the firm after
                     C’s admission.
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