Practical Problems
Question 1.
Vikram and Pradnya share profits and losses in the ratio 2 : 3 respectively. Their Balance Sheet as of 31st March 2018 was as under.
Balance Sheet as of 31st March 2018
They agreed to admit Avani as a partner on 1st April 2018 on the following terms:
1. Avani shall have 1/4th share in future profits.
2. He shall bring ₹ 37,500 as his capital and ₹ 30,000 as his share of goodwill.
3. Land and building to be valued at ₹ 45,000 and furniture to be depreciated by 10%.
4. Provision for bad and doubtful debts is to be maintained at 5% on the Sundry Debtors.
5. Stock to be valued ₹ 82,500.
The Capital A/c of all partners to be adjusted in their new profit and loss ratio and excess amount be transferred to their loan accounts.
Prepare Profit and Loss Adjustment Account, Capital Accounts, and New Balance Sheet.
Solution:
In the books of Partnership Firm
Balance Sheet as of 1st April 2018
Working Notes:
1. Calculation of new profit ratio = 1 – share of new partner
= 1 – \(\frac{1}{4}\)
= \(\frac{3}{4}\) (Remaining share)
New ratio = old ratio × balance 1 (Remaining share)
Vikram’s new ratio = \(\frac{2}{5} \times \frac{3}{4}=\frac{6}{20}\)
Pradnya’s new ratio = \(\frac{3}{5} \times \frac{3}{4}=\frac{9}{20}\)
Avani’s ratio = \(\frac{1}{4}=\frac{1}{4} \times \frac{5}{5}=\frac{5}{20}\)
∴ New profit sharing ratio = 6 : 9 : 5.
Capital amount adjusted in their new profit and loss ratio:
Total Capital of the Partnership Firm = (Reciprocal of New Partner’s Share) × (Capital of New Partner)
= (Reciprocal of \(\frac{1}{4}\)) × 37,500
= 4 × 37,500
= ₹ 1,50,000
Vikram’s Capital balance = (Vikram’s New Ratio) × (Total Capital of the firm)
= \(\frac{6}{20}\) × 1,50,000 = ₹ 45,000
Pradnya’s Capital balance = \(\frac{9}{20}\) × 1,50,000 = ₹ 67,500
Question 2.
Amalendu and Sameer share profits and losses in the ratio 3 : 2 respectively. Their Balance Sheet as of 31st March 2017 was as under:
Balance Sheet as of 31st March 2017
On 1st April 2017 they admit Paresh into partnership. The term being that:
1. He shall pay ₹ 16,000 as his share of Goodwill 50% amount of Goodwill shall be withdrawn by the old partners.
2. He shall have to bring in ₹ 20,000 as his Capital for 1/4 share in future profits.
3. For the purpose of Paresh’s admission it was agreed that the assets would be revalued as follows:
A. Land and Building is to be valued at ₹ 60,000.
B. Plant and Machinery to be valued at ₹ 16,000.
C. Stock valued at ₹ 20,000 and Furniture and Fixtures at ₹ 4,000.
D. A Provision of 5% on Debtors would be made for Doubtful Debts.
Pass the necessary Journal Entries in the books of a new firm.
Solution:
Journal entries in the books of Partnership Firm
Working Notes:
Question 3.
Vasu and Viraj share profits and losses in the ratio of 3 : 2 respectively. Their Balance Sheet as on 31st March, 2019 was as under:
Balance Sheet as on 31st March, 2019
They admit Hari into partnership on 1-4-2019. The terms being that:
1. He shall have to bring in ₹ 60,000 as his Capital for 1/4 share in future profits.
2. Value of Goodwill of the firm is to be fixed at the average profits for the last three years.
The Profit were:
2015-16 – ₹ 48,000
2016-17 – ₹ 81,000
2017-18 – ₹ 73,500
Hari is unable to bring the value of Goodwill in cash. It is decided to raise Goodwill in the books of accounts.
3. Reserve for Doubtful debts is to be created at ₹ 1,500.
4. Closing stock is valued at ₹ 22,500.
5. Plant and Building are to be depreciated by 5%.
Prepare Profit and Loss-Adjustment A/c, Capital Accounts of Partners and Balance Sheet of the new firm.
Solution:
In the books of the firm __________
Balance Sheet as on 1st April 2019
Working Notes:
1. Average Profit = \(\frac{Total Profit}{No. of years}\)
= \(\frac{48,000+81,000+73,500}{3}\)
= ₹ 67,500
∴ Goodwill value = ₹ 67,500
Vasu’s share in Goodwill = ₹ 40,500 (67,500 × \(\frac{3}{5}\))
Viraj’s share in Goodwill = ₹ 27,000 (67,500 × \(\frac{2}{5}\))
2. Hari is not able to bring a share in goodwill and it is decided to raise the goodwill in the book.
Therefore, Goodwill is recorded in the Asset side ₹ 67,500.
Question 4.
Mr. Deep & Mr. Karan were in partnership sharing profits & losses in the proportion of 3 : 1 respectively. Their Balance Sheet on 31st March 2018 stood as follows:
Balance Sheet as of 31st March 2018
They admit Shubham into Partnership on 1 April 2018. The terms being that:
1. He shall have to bring in ₹ 20,000 as his capital for 1/5 share in future profits & ₹ 10,000 as his share of Goodwill.
2. A provision for 5% doubtful debts to be created on sundry debtors.
3. Furniture to be depreciated by 20%.
4. Stock should be appreciated by 5% and Building be appreciated by 20%.
5. Capital A/c of all partners be adjusted in their new profit sharing ratio through cash account.
Prepare Profit and Loss-Adjustment A/c, Partners’ Capital A/c, Balance Sheet of the new firm.
Solution:
In the books of the firm __________
Balance Sheet as of 1st April 2018
Working Note:
Calculation of new ratio : Balance of 1 = 1 – share of new partner
= 1 – \(\frac{1}{5}\)
= \(\frac{4}{5}\) (Remaining share)
New ratio = Old ratio × balance 1 (Remaining share)
Deep’s new ratio = \(\frac{3}{4} \times \frac{4}{5}=\frac{3}{5}\)
Karan’s new ratio = \(\frac{1}{4} \times \frac{4}{5}=\frac{1}{5}\)
Shubham’s new ratio = \(\frac{1}{5}=\frac{1}{5}\)
∴ New profit and loss sharing ratio = 3 : 1 : 1
Capital amount to be adjusted in Partner’s new profit and loss ratio:
Total Capital of the firm = (Reciprocal of New partner’s share) × (New partner’s capital)
= 5 × 20,000
= ₹ 1,00,000
Deep’s capital balance = \(\frac {3}{5}\) × 1,00,000 = ₹ 60,000
Karan’s capital balance = \(\frac {1}{5}\) × 1,00,000 = ₹ 20,000
Question 5.
Mr. Kishor & Mr. Lai were in partnership sharing profits & losses in the proportion of 3/4 and 1/4 respectively.
They decided to admit Ram on 1 April 2018 on the following terms:
1. He should be given 1/5th share in profit and for that, he brought in ₹ 60,000 as capital through RTGS.
2. Goodwill should be raised at ₹ 60,000.
3. Appreciate Land and Building by 20%.
4. Furniture and Stock are to be depreciated by 10%.
5. The capitals of all partners should be adjusted in their new profit sharing ratio through Bank A/c.
Pass necessary Journal Entries in the books of the partnership firm and a Balance Sheet of the new firm.
Solution:
Journal entries in the books of the firm
Balance Sheet as of 1st April 2018
Working Notes:
1.
2. Calculation of new profit sharing ratio:
New Ratio = (Balance of 1) × (old ratio)
Kishor’s New ratio = \(\left(1-\frac{1}{5}\right) \times \frac{3}{4}=\frac{4}{5} \times \frac{3}{4}=\frac{3}{5}\)
Lal’s New ratio = \(\left(1-\frac{1}{5}\right) \times \frac{1}{4}=\frac{4}{5} \times \frac{1}{4}=\frac{1}{5}\)
Ram’s ratio = \(\frac{1}{5}\)
3. Total capital of the firm = (Reciprocal of Ram’s ratio) × (His capital contribution)
= \(\frac{5}{1}\) × 60,000 = ₹ 3,00,000
Kishor’s new closing capital balance = 3,00,000 × \(\frac{3}{5}\) = ₹ 1,80,000
Lai’s new closing capital balance = 3,00,000 × \(\frac{1}{5}\) = ₹ 60,000
Ram’s new closing capital balance = ₹ 60,000
Question 6.
Vrushali and Leena are equal partners in the business. Their Balance Sheet as of 31st March 2013 stood as under.
Balance Sheet as of 31st March 2018
They decided to admit Aparna on 1st April 2018 on the following terms:
1. The Machinery and Building be depreciated by 10%. Reserve for Doubtful Debts to be increased by ₹ 5,000.
2. Bills receivable are taken over by Vrushali at a discount of 10%.
3. Aparna should bring ₹ 60,000 as capital for her 1/4th share in future profits.
4. The Capital accounts of all the partners be adjusted in proportion to the new profit sharing ratio by opening the Current accounts of the partners.
Prepare Profit and Loss-Adjustment A/c, Partners’ Capital A/c, Balance Sheet of the new firm.
Solution:
Balance Sheet as on 1st April 2018
Working Notes:
1. R.D.D. to be increased by ₹ 5,000 means subtract ₹ 5,000 from Debtors.
2. Bills receivable taken by Vrushali at 10 % discount i.e. 12,000 – 1,200 = ₹ 10,800.
Write this amount on the debit side of the partners’ Capital Account in Vrushali’s column.
3. Calculation of new ratio = 1 – share of new partner
= 1 – \(\frac{1}{4}\)
= \(\frac{3}{4}\) (Remaining share)
New ratio = Old ratio × Balance 1 (Remaining Share)
Vrushali’s new ratio = \(\frac{1}{2} \times \frac{3}{4}=\frac{3}{8}\)
Leena’s new ratio = \(\frac{1}{2} \times \frac{3}{4}=\frac{3}{8}\)
Aparna’s ratio = \(\frac{1}{4}\)
∴ Partner’s new profit and loss ratio = \(\frac{3}{8}: \frac{3}{8}: \frac{1}{4}\) = 3 : 3 : 2
Now, capital amount to be adjusted in partners new profit and loss ratio.
Total capital of the firm = (Reciprocal of New Partner’s Share) × (New Partner’s Capital)
= (Reciprocal of \(\frac{1}{4}\)) × 60,000
= 4 × 60,000
= ₹ 2,40,000
Vrushali’s capital balance = \(\frac {3}{8}\) × 2,40,000 = ₹ 90,000
Leela’s capital balance = \(\frac {3}{8}\) × 2,40,000 = ₹ 90,000
The deficit of these capital balances is to be adjusted through the Current account.
To keep the balance of Vrushali’s and Leena’s capital ₹ 90,000 each, deficit of ₹ 53,850 and ₹ 58,050 are incurred which is transferred to the respective Partner’s Current A/cs and recorded on the Asset side of Balance Sheet [As it is to be recovered from Partners].
Question 7.
The balance sheet of Medha and Radha who share profit and loss in the ratio 3 : 1 is as follows:
Balance Sheet as of 31st March 2018
They decided to admit Krutika on 1st April 2018 on the following terms:
1. Krutika is taken as a partner on 1st April 2017. She will pay 40,000 as her capital for 1/5th share in future profits and ₹ 2,500 as goodwill.
2. 5% provision for bad and doubtful debt be created on debtors.
3. Furniture be depreciated by 20%.
4. Stocks be appreciated by 5% and plant & machinery by 20 %.
5. The Capital accounts of all partners be adjusted in their new profit sharing ratio by adjusting the amount through a loan.
6. The new profit sharing ratio will be 3/5 : 1/5 : 1/5 respectively.
You are required to prepare Profit and Loss-Adjustment A/c, Partners’ Capital A/c, Balance Sheet of the new firm.
Solution:
Balance Sheet as of 1st April 2018
Working Notes:
1. Total capital of the firm = (Reciprocal of New Partner’s Profit Sharing ratio) × (Capital contributed by new partner)
= (Reciprocal of \(\frac{1}{5}\)) × 40,000
= 5 × 40,000
= ₹ 2,00,000
Medha’s closing capital, balance = \(\frac{3}{5}\) × 2,00,000 = ₹ 1,20,000
Radha’s closing capital balance = \(\frac{1}{5}\) × 2,00,000 = ₹ 40,000
2. General reserve is distributed among old partners in their old profit and loss ratio.
3. Cash Balance = 78,000 + 40,000 + 2,500 = ₹ 1,20,500 [Amount brought in by new partner.]
Question 8.
The Balance Sheet of Sahil and Nikhil who share profits in the ratio of 3 : 2 as of 31st March 2017 is as follows:
Balance Sheet as of 31st March 2017
Varad admitted on 1st April 2017 on the following terms:
1. Varad was to pay ₹ 1,00,000 for his share of capital.
2. He was also to pay ₹ 40,000 as his share of goodwill.
3. The new profit sharing ratio was 3 : 2 : 3.
4. Old partners decided to revalue the assets as follows:
Building ₹ 1,00,000. Furniture ₹ 48,000, Debtors ₹ 38,000 (in view of likely bad debts)
5. It was found that there was a liability for ₹ 3,000 for goods in March 2017 but recorded on 2nd April 2017.
You are required to prepare:
(a) Profit and Loss-Adjustment account
(b) Capital accounts of the partners
(c) Balance Sheet after the admission of Varad.
Solution:
Balance Sheet as of 1st April 2017
Working Notes:
1. Cash in hand = Opening balance + Varad’s capital + Varad’s goodwill (amount brought in)
= 20,000 + 1,00,000 + 40,000
= ₹ 1,60,000
2. Sacrifice ratio = Old ratio – New ratio
Sahil’s sacrifice = \(\frac{3}{5}-\frac{3}{8}=\frac{24-15}{40}=\frac{9}{40}\)
Nikhil’s sacrifice = \(\frac{2}{5}-\frac{2}{8}=\frac{16-10}{40}=\frac{6}{40}\)
i.e. sacrifice ratio = \(\frac{9}{40}: \frac{6}{40}\) = 9 : 6 = 3 : 2.
Goodwill is distributed among old partners in the sacrifice ratio.
Question 9.
Mr. Amit and Baban share profits and losses in the ratio 2 : 3 respectively. Their Balance Sheet as of 31st March 2018 was as under:
Balance Sheet as of 31st March 2018
They agreed decided to admit Kamal on 1st April 2018 on the following terms:
1. Kamal shall have 1/4th share in future profits.
2. She shall bring 50,000 as her capital and 40,000 as her share of goodwill.
3. Land and building to be valued at 60,000 and furniture to be depreciated by 10%.
4. Provision for bad and doubtful debts is to be maintained at 5% on the sundry debtors.
5. Stocks to be valued at 1,10,000.
The Capital A/c of all partners to be adjusted in their new profit and loss ratio and excess amount be transferred to their loan accounts.
Prepare Profit and Loss-Adjustment A/c, Capital A/cs, and New Balance Sheet.
Solution:
Balance Sheet as of 1st April 2018
Working Notes:
1. Cash balance = Opening balance + Amount brought in by Kamal
= 1,10,000 + 50,000 + 40,000
= ₹ 2,00,000
2. For calculation of new profit and loss ratio:
Calculation of new profit ratio = 1 – share of new partner
= 1 – \(\frac{1}{4}\)
= \(\frac{3}{4}\) (Remaining share)
New ratio = old ratio × balance 1 (Remaining share)
Amit’s new ratio = \(\frac{2}{5} \times \frac{3}{4}=\frac{6}{20}\)
Baban’s new ratio = \(\frac{3}{5} \times \frac{3}{4}=\frac{9}{20}\)
Kamal’s ratio = \(\frac{1}{4}=\frac{1}{4} \times \frac{5}{5}=\frac{5}{20}\)
3. New profit and loss ratio = 6 : 9 : 5
Capital amount adjusted in their new profit and loss ratio by taking new partner Kamal’s capital (₹ 50,000) as a base.
For part 5 capital = ₹ 50,000 (Kamal’s capital)
For part 6 capital = ₹ 60,000 (Amit’s capital)
For part 9 capital = ₹ 90,000 (Baban’s capital)
4. After keeping these capital balances difference of the amount of Amit’s capital ₹ 63,520 and of Baban’s capital ₹ 45,280 are taken as partner’s loan to the firm and as a liability of the firm it is recorded in the Liabilities side of the Balance Sheet.
Question 10.
The following is the Balance Sheet of Om and Jay on 31st March 2018, they share profits and losses in the ratio 3 : 2.
Balance Sheet as of 31st March 2018
They take Jagdish into partnership on 1st April 2018. The terms being:
1. Jagdish should pay ₹ 3,000 as his share of Goodwill. 50% of goodwill withdrawn by partners in cash.
2. He should bring ₹ 9,000 as capital for 1/4th share in future profits.
3. Building to be valued at 18,000, Machinery and Furniture to be reduced by 10 %.
4. A provision of 5% on debtors to be made for doubtful debts.
5. Stock to be taken at the value of ₹ 15,000.
Prepare Profit and Loss A/c, Partners’ Current A/c, Balance Sheet of the new firm.
Solution:
Balance Sheet as of 1st April 2018
Working Notes:
1.
2. Write partner’s capital accounts balance as fixed capital balance in the Balance Sheet and transferred current account balance in the Balance Sheet as Partners Current A/c.
3. As shown in the cash account partners’ withdrew half amount of goodwill amount share.