# NCERT Solutions for Class 12 Accountancy Chapter 4 Retirement and Death of a Partner

Q. Ranjana, Sadhna and Kamana are partners sharing profits in the ratio 4 : 3 : 2. Ranjana retires: Sadhna and Kamana decided to share future profits in the ratio of 5 : 3. Calculate the Gaining Ratio.

$$\textbf{Ans.}\space\text{Gaining Share = New Share – Old Share}\\ \text{Sadhna’s Gaining Share} = \frac{5}{8}-\frac{3}{9}=\frac{45-24}{72}=\frac{21}{72}\\ \text{Sadhna’s Gaining Share} = \frac{3}{8}-\frac{2}{9}=\frac{27-16}{72}=\frac{11}{72}\\ \text{Gaining Ratio between Sadhna and Kamana} = 21 : 11$$

Q. Jaya, Kirti, Ekta and Shewata are partners in a firm sharing profits and losses in the ratio of 2 : 1 : 2 : 1. On Jaya’s retirement, the goodwill of the firm is valued at ₹36,000. Kirti, Ekta and Shewata decided to share future profits equally. Record the necessary journal entry for the treatment of goodwill without opening ‘Goodwill Account’.

Ans.

Books of Kirti, Ekta and Shewata

Journal

 Date Particulars L.F. Debit(₹) Credit(₹) Kirti’s Capital A/c Dr. 6,000 Shewata’s Capital A/c Dr. 6,000 To Jaya’s Capital A/c 12,000 (Being Jaya’s share of goodwill adjusted to remaining partners in their gaining ratio)

$$\text{Working Notes:}\\ 1.\space\text{Jaya’s Share of Goodwill} = ₹36,000 ×\frac{2}{6}=₹12,000\\ 2.\space\text{Calculation of Gaining Ratio}\\ \text{Gaining Share = New Share – Old Share}\\ \text{Kirti’s Gain} =\frac{1}{3}-\frac{1}{6}=\frac{2-1}{6}=\frac{1}{6}\\ \text{Kirti’s Gain} =\frac{1}{3}-\frac{2}{6}=\frac{2-2}{6}=\frac{0}{6}[\text{Neither Gain nor Sacrifice}]\\ \text{Shewata’s Gain} =\frac{1}{3}-\frac{1}{6}=\frac{2-1}{6}=\frac{1}{6}\\ \text{Hence, Gaining ratio between Kirti and Shewata}\space\frac{1}{6}:\frac{1}{6}=1 : 1$$

Q. Deepa, Neeru and Shilpa were partners in a firm sharing profits in the ratio of 5 : 3 : 2. Neeru retired and the new profit sharing ratio between Deepa and Shilpa was 2 : 3. On Neeru’s retirement, the goodwill of the firm was valued of ₹1,20,000. Record necessary journal entry for the treatment of goodwill on Neeru’s retirement.

Ans.

In the Books of Deepa and Shilpa Journal

Journal

$$\text{Working Notes}:\\ 1.\space\text{Calculation of Gaining Ratio}\\ \text{Gaining Share = New Share – Old Share}\\ \text{Deepa’s Gaining Share} =\frac{2}{5}-\frac{5}{10}=\frac{4-5}{10}=-\frac{1}{10}=\frac{1}{10}\space i.e., \text{Sacrifice}.\\ \text{Shilpa Gaining share} =\frac{3}{5}-\frac{2}{10}=\frac{6-2}{10}=\frac{4}{10}\space i.e., \text{Sacrifice}.\\ \text{2. Hence, Shilpa will compensate both Neeru (retiring partner) and Deepa (continuing partner who has sacrificed) to the extent of their sacrifice worked out as follows: Deepa’s Sacrifice = Goodwill of the firm × Sacrificing Share}\\ = ₹1,20,000 ×\frac{1}{10}= ₹12,000\\ \text{Neeru’s (Retiring Partner) Sacrifice} = ₹1,20,000 ×\frac{3}{10}= ₹36,0000$$

 Date Particulars L.F. Debit(₹) Credit(₹) Shilpa’s Capital A/c Dr. 48,000 To Neeru’s Capital A/c 36,000 To Deepa’s Capital A/c 12,000 (Being Shilpa compensated Neeru for her share of goodwill and to Deepa for the sacrifice made by her on Neeru’s retirement)

Q. to adjust the capitals of Asha and Lata in their new profit sharing ratio. You are required to calculate the new capitals of the partners and record necessary journal entries for bringing in or withdrawal of  the necessary amounts involved.

Ans. (i) Calculation of new capitals of the existing partners

 Balance in Asha's Capital (after all adjustments) = 1,60,000 Balance in Lata's Capital = 80,000 Total Capital of the New Firm = 2,40,000

$$\text{Based on the new profit sharing ratio of 3 : 1}\\\text{Asha’s New Capital =}\space₹2,40,000×\frac{3}{4}=₹1,80,000\\\text{Lata’s New Capital}=₹2,40,000×\frac{1}{4}=₹60,000$$

Note : The total capital of the new firm is based on the sum of the balance in the capital accounts of the continuing partners.

(ii) Calculation of cash to be brought in or withdrawn by the continuing partners:

 Asha Lata ₹ ₹ New Capital 1,80,000 60,000 Existing Capital 1,60,000 80,000 (iii) Cash to be brought in or (paid off) 20,000 20,000

Books of Asha and Lata

Journal

 Date Particulars L.F. Debit(₹) Credit(₹) Cash A/c Dr. 20,000 To Asha’s Capital A/c 20,000 (Being cash brought by Asha) Lata's Capital A/c Dr. 20,000 To Cash A/c 20,000 (Being surplus capital withdrawn by Lata)

Q. Lalit, Pankaj and Rahul are partners sharing profits in the ratio of 4 : 3 : 3. After all adjustments, on Lalit's retirement with respect to general reserve, goodwill and revaluation etc., the balances in their capital accounts stood at 70,000 60,000 and `50,000 respectively. It was decided that the amount payable to Lalit will be brought by Pankaj and Rahul in such a way as to make their capitals proportionate to their profit sharing ratio. Calculate the amount to be brought by Pankaj and Rahul and record necessary journal entries for the same. Also record necessary entry for payment to Lalit.

After Lalit's retirement, the new profit sharing ratio between Pankaj and is 3 : 3,i.e. 1 : 1.

Ans. (i) Calculation of total capital of the new firm:

 Balance in Pankaj’s Capital Account (after adjustment) = 60,000 Balance in Rahul’s Capital Account (after adjustment) = 50,000 Amount payable to Lalit (Retiring partner) = 70,000 Total capital of new firm = 1,80,000

(ii) Calculation of new capitals of the continuing partners:

$$\text{Pankaj’s New Capital}=₹1,80,000×\frac{1}{2}=₹90,000\\\text{Rahul’s New Capital}=₹1,80,000×\frac{1}{2}=₹90,000\\$$

(iii) Calculation of the amounts to be brought in or withdrawn by the continuing partners

 Particulars Pankaj(₹) Rahul(₹) New Capital (₹1,80,000 in the ratio of 1 : 1) 90,000 90,000 Existing Capital (after adjustment) 60,000 50,000 Cash to be brought in 30,000 40,000

Books of Pankaj and Rahul

Journal

 Date Particulars L.F. Debit(₹) Credit(₹) To Pankaj's Capital A/c 30,000 To Rahul's Capital A/c 40,000 (Being amount brought in by Pankaj and Rahul) Lalit’s Capital A/c Dr. 70,000 To Cash A/c 70,000 (Being amount paid to Lalit on retirement)

Q. The Balance Sheet of Ashish, Suresh and Lokesh who were sharing profits in the ratio of 5 : 3 : 2, is given below as on March 31, 2017.

Balance Sheet of Ashish, Suresh and Lokesh

as at March 31, 2017

 Liabilities Amount(₹) Assets Amount(₹) Capitals: Land 4,00,000 Ashish 7,20,000 Buildings 3,80,000 Suresh 4,15,000 Plant & Machinery 4,65,000 Lokesh 3,45,000 14,80,000 Furniture & Fittings 77,000 Reserve Fund 1,80,000 Stock 1,85,000 Sundry Creditors 1,24,000 Sundry Debtors 1,72,000 Outstanding Expenses 16,000 Cash in Hand 1,21,000 18,00,000 Cash in Hand 18,00,000

Suresh retires on the above date and the following adjustments are agreed upon his retirement:

• (i) Stock was valued at ₹1,72,000.
• (ii) Furniture and fittings were valued at ₹80,000.
• (iii) An amount of ₹10,000 due from Mr. Deepak, a debtor, was doubtful and a provision for the same was required.
• (iv) Goodwill of the firm was valued at ₹2,00,000, but it was decided not to show goodwill in the books of accounts.
• (v) Suresh was paid ₹40,000 immediately on retirement and the balance was transferred to his loan account.
• (vi) Ashish and Lokesh were to share future profits in the ratio of 3 : 2.
Prepare Revaluation Account, Partner’s Capital Accounts and Balance Sheet of the reconstituted firm.

Ans.

In the Books of Ashish, Suresh and Lokesh

Dr.

Revaluation Account

Cr.

 Particulars Amount(₹) Particulars Amount(₹) To Stock A/c 13,000 By Furniture & Fittings A/c 3,000 To Provision for Doubtful Debts A/c 10,000 By Loss on Revaluation transferred to: Ashish’s Capital 10,000 Suresh’s Capital 6,000 Lokesh’s Capital 4,000 20,000 23,000 23,000

Dr.

Partners’ Capital Accounts

Cr.

 Date2017 Particulars Ashish(₹) Suresh(₹) Lokesh(₹) Particulars Ashish(₹) Suresh(₹) Lokesh(₹) Mar. 31 To Reval. (Loss) A/c 10,000 6,000 4,000 By Balance b/d 7,20,000 4,15,000 3,45,000 To Suresh’s By Reserve Fund A/c 90,000 54,000 36,000 Capital A/c 20,000 — 40,000 By Ashish’s A/c To Cash — 40,000 — Capital A/c — 20,000 — To Suresh’s Loan A/c — 4,83,000 - Lokesh’s Capital A/c - 40,000 — To Balance c/d 7,80,00 — 3,37,000 8,10,000 5,29,000 3,81,000 8,10,000 5,29,000 3,81,000

Balance Sheet of Ashish and Lokesh

as at April 01, 2017

 Liabilities Particulars Ashish(₹) Suresh(₹) Lokesh(₹) Particulars Ashish(₹) Suresh(₹) Lokesh(₹) Mar. 31 To Reval. (Loss) A/c 10,000 6,000 4,000 By Balance b/d 7,20,000 4,15,000 3,45,000 To Suresh’s By Reserve Fund A/c 90,000 54,000 36,000 Capital A/c 20,000 — 40,000 By Ashish’s A/c To Cash — 40,000 — Capital A/c — 20,000 — To Suresh’s Loan A/c — 4,83,000 - Lokesh’s Capital A/c - 40,000 — To Balance c/d 7,80,00 — 3,37,000 8,10,000 5,29,000 3,81,000 8,10,000 5,29,000 3,81,000

Balance Sheet of Ashish and Lokesh

as at April 01, 2017

 Liabilities Amount(₹) Assets Amount(₹) Capitals: Land 4,00,000 Ashish 7,80,000 Buildings 3,80,000 Lokesh 3,37,000 11,17,000 Plant and Machinery 4,65,000 Suresh's Loan 4,83,000 Furniture & Fittings 80,000 Sundry Creditors 1,24,000 Stock 1,72,000 Outstanding Expenses 16,000 Sundry Debtors 1,72,000 Less: Provision for Doubtful Debts 10, 000 1,62,000 Cash is Hand (₹1,21,000 – ₹40,000) 81,000 17,40,000 Cash is Hand (₹1,21,000 – ₹40,000) 17,40,000

Working Notes:

1. Calculation of Gaining Ratio:

Old Ratio of Ashish, Suresh and Lokesh = 5 : 3 : 2

New Ratio of Ashish and Lokesh = 3 : 2

Gaining Share = New Share – Old Share

$$\text{Ashish’s Gain =}\frac{3}{5}-\frac{5}{10}=\frac{6-5}{10}=\frac{1}{10}\\\text{Lokesh’s Gain =}\frac{2}{5}-\frac{2}{10}=\frac{4-2}{10}=\frac{2}{10}\\\text{Gaining Ratio of Ashish and Lokesh = 1 : 2,}\\\textbf{2. Calculation of Suresh’s Share of Goodwill:}\\\text{Goodwill of Firms =₹2,00,000}\\\text{Suresh’s Share of Goodwill =}\frac{3}{10}×₹2,00,000=₹60,000\\\text{Which will be compensated by Ashish and Lokesh in their gaining ratio i.e., 1 : 2.}$$