CBSE Class 12 Accountancy Admission Of A Partner Important Questions Set 01

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Very Short Answer Questions (1 Mark)

Question 1. State whether the statement is True or False: Goodwill is a fictitious asset.
Answer:
False

Teacher's Note:
1. Goodwill is an intangible asset because it has a value and can be sold.

 

Question 2. State whether the statement is True or False: Weighted Average Profit method of calculating goodwill is used when profits show a trend of financial performance.
Answer:
True

Teacher's Note:
1. When profits show a rising or falling trend, more weight is given to recent years.

 

Question 3. State whether the statement is True or False: Purchased goodwill arises at the time of opening of a new business.
Answer:
False

Teacher's Note:
1. Purchased goodwill arises when an existing business is acquired for more than its net assets.

 

Question 4. State whether the statement is True or False: Goodwill can be defined as the present value of anticipated profits.
Answer:
True

Teacher's Note:
1. Goodwill reflects the firm’s ability to earn future profits.

 

Question 5. State whether the statement is True or False: Under capitalisation of Super Profit method, goodwill is ascertained by capitalising the Super Profit on the basis of Normal Rate of Return.
Answer:
True

Teacher's Note:
1. Goodwill = Super Profit × 100 ÷ Normal Rate of Return.

 

Question 6. Fill in the blank: A change in profit-sharing ratio among the existing partner results in ________ of the partnership firm.
Answer:
Reconstitution

Teacher's Note:
1. The firm continues; only the partnership agreement changes.

 

Question 7. Fill in the blank: ________ is the excess of actual profit over the normal profit.
Answer:
Super Profit

Teacher's Note:
1. Super profit is calculated on average (actual) profit, not on a single year’s profit.

 

Question 8. Fill in the blank: In a partnership firm, total tangible assets are ₹14,00,000 and outside liabilities are ₹4,00,000 then capital employed will be ₹ ________.
Answer:
Capital employed = 14,00,000 − 4,00,000 = ₹10,00,000

Teacher's Note:
1. Capital employed = total assets (excluding goodwill and fictitious assets) − outside liabilities.

 

Question 9. Fill in the blank: Under ________ method goodwill is the excess of capitalised value of business over net assets.
Answer:
Capitalisation of Average Profit

Teacher's Note:
1. Capitalised value = Average Profit × 100 ÷ Normal Rate of Return.

 

Question 10. Fill in the blank: X, Y and Z are partners sharing profits in the ratio of 5 : 3 : 2. Then they decided to share profit equally in future. In this case X’s sacrifice is ________.
Answer:
X’s sacrifice = \( \frac{5}{10} \) − \( \frac{1}{3} \) = \( \frac{15}{30} \) − \( \frac{10}{30} \) = \( \frac{5}{30} \)

Teacher's Note:
1. \( \frac{5}{30} \) can also be written as \( \frac{1}{6} \).

 

Question 11. What is meant by ‘reconstitution of partnership firm’? [CBSE Delhi 2014]
Answer:
Whenever there is a change in the partnership agreement among partners but the firm continues, it is called reconstitution of the partnership firm.

Teacher's Note:
1. Key phrase for full marks: the agreement changes but the firm continues.

 

Question 12. State any two occasions on which a firm can be reconstituted. [CBSE Delhi 2012]
Answer:
Following are the occasions when reconstitution of a partnership firm can take place:
(i) Change in profit-sharing ratio among existing partners.
(ii) At the time of admission of a partner.

Teacher's Note:
1. Other occasions are retirement or death of a partner and amalgamation of firms.

 

Question 13. State the ratio in which the partners share profits or losses on revaluation of assets and liabilities, when there is a change in profit-sharing ratio amongst existing partners. [CBSE Delhi 2013]
Answer:
In Old Profit-Sharing Ratio.

Teacher's Note:
1. Revaluation relates to the period before the change, so the old ratio applies.

 

Question 14. What is Sacrificing Ratio? [CBSE (AI) 2008, 2011]
Answer:
The ratio in which one or more of the existing partners surrender some of their old share in favour of one or more other partners is called sacrificing ratio. Sacrificing ratio is computed by deducting the new ratio from the old ratio.

Teacher's Note:
1. Write the formula too: Sacrificing Ratio = Old Ratio − New Ratio.

 

Question 15. Define goodwill. [CBSE (AI) 2008]
Answer:
Goodwill is the value of reputation of a firm in respect of the profits expected in future over and above the normal profits earned by other similar firms belonging to the same industry.

Teacher's Note:
1. The idea of “profits over and above normal profits” is what links goodwill to the super profit method.

 

Question 16. Why is ‘goodwill’ considered an ‘Intangible asset’ but not a ‘fictitious asset’? [CBSE Delhi 2009]
Answer:
Goodwill cannot be seen and touched. It is invisible. Hence, it is treated as intangible asset. But it is not a fictitious asset because goodwill has a value and it can be purchased or sold with any other asset.

Teacher's Note:
1. A fictitious asset has no realisable value; goodwill does.

 

Question 17. Give the formula of goodwill by ‘Capitalisation of Average Profits’. [CBSE Delhi and (AI) 2012 (C)]
Answer:
Goodwill = Capitalised Value of Average Profits − Net Assets
Where,
Capitalised Value of Average Profit = \( \frac{\text{Average Profit}}{\text{Normal Rate of Return}} \) × 100
Net Assets = All assets (other than goodwill, Fictitious assets and non-trading investments) at their current values less outside liabilities.

Teacher's Note:
1. Remember to exclude goodwill and fictitious assets while computing net assets.

 

Short Answer Questions (2 Marks)

Question 18. A business has earned average profits of ₹1,00,000 during the last few years and the normal rate of return in similar business is 10%. Find out the value of goodwill by:
(i) Capitalisation of Super Profit Method and
(ii) Super Profit Method if the goodwill is valued at 3 years’ purchase of super profit.
The assets of the business were ₹10,00,000 and its external liabilities ₹1,80,000. [CBSE Delhi 2011]

Answer:
(i) (a) Capital Employed = Assets − External Liabilities = ₹10,00,000 − ₹1,80,000 = ₹8,20,000
(b) Normal Profit = Capital Employed × \( \frac{\text{Normal Rate of Return}}{100} \) = ₹8,20,000 × \( \frac{10}{100} \) = ₹82,000
(c) Super Profit = Actual Average Profit − Normal Profit = ₹1,00,000 − ₹82,000 = ₹18,000
As per Capitalisation Method,
Goodwill = Super Profit × \( \frac{100}{\text{Normal Rate of Return}} \) = 18,000 × \( \frac{100}{10} \) = ₹1,80,000
(ii) As per Super Profit Method
Goodwill = Super Profit × No. of years’ purchase = ₹18,000 × 3 = ₹54,000

Teacher's Note:
1. Capitalising the super profit and multiplying it by years’ purchase are two different methods; read which one is asked.

 

Question 19. The average profit earned by a firm is ₹80,000 which includes undervaluation of stock of ₹8,000 on an average basis. The capital invested in the business is ₹8,00,000 and the normal rate of return is 8%. Calculate goodwill of the firm on the basis of 7 times the super profit. [CBSE Delhi 2015 (C)]
Answer:
Average Profit = ₹80,000
Undervaluation of Stock = ₹8,000
Actual Average Profit = ₹80,000 + ₹8,000 (Note) = ₹88,000
Normal Profit = Capital Investment × Normal Rate of Return = ₹8,00,000 × \( \frac{8}{100} \) = ₹64,000
Super Profit = Actual Average Profit − Normal Profit = ₹88,000 − ₹64,000 = ₹24,000
Goodwill = Super Profit × 7 = ₹24,000 × 7 = ₹1,68,000
Note: Undervaluation of stock is added back to the profit as it reduces the profit.

Teacher's Note:
1. Undervalued closing stock understates profit, so add it back; overvalued stock would be deducted.

 

Question 20. The goodwill of a firm was to be valued at two years’ purchase of the average profits of the last three years. The profits were as under:
2014–15 : ₹20,000 (including an abnormal gain of ₹5,000)
2015–16 : ₹40,000 (after charging an abnormal loss of ₹10,000)
2016–17 : ₹40,000
Calculate the amount of goodwill. [CBSE 2019 (67/5/1)]

Answer:
YearNormalised Profits(₹)
2014–2015₹20,000 − ₹5,000 (abnormal gain)15,000
2015–2016₹40,000 + ₹10,000 (abnormal loss)50,000
2016–201740,000
Total1,05,000

Average of normal profits = ₹1,05,000/3 = ₹35,000; Goodwill = ₹35,000 × 2 = ₹70,000

Teacher's Note:
1. Abnormal gains are deducted and abnormal losses are added back to arrive at normal profits.

 

Question 21. A firm’s profits for the last five years were ₹20,000; ₹30,000; ₹40,000; ₹50,000 and ₹60,000. Calculate the value of firm’s goodwill on the basis of three years’ purchase of weighted average profits after using weight of 1, 2, 3, 4 and 5 respectively. [NCERT]
Answer:
YearProfit (₹)WeightProduct (₹)
I20,000120,000
II30,000260,000
III40,00031,20,000
IV50,00042,00,000
V60,00053,00,000
Total157,00,000

Weighted Average Profit = \( \frac{\text{Total Product}}{\text{Total Weight}} \) = \( \frac{7,00,000}{15} \) = ₹46,667 (approx.)
Goodwill = Weighted Avg. Profit × No. of Years’ Purchase = 46,667 × 3 = ₹1,40,000 (approx.)

Teacher's Note:
1. Divide by the total of the weights (15), not by the number of years (5).

 

Short Answer Questions (3 Marks)

Question 22. Kumar, Gupta and Kavita were partners in a firm sharing profits and losses equally. The firm was engaged in the storage and distribution of canned juice and its godowns were located at three different places in the city. Each godown was being managed individually by Kumar, Gupta and Kavita. Because of increase in business activities at the godown managed by Gupta, he had to devote more time. Gupta demanded that his share in the profits of the firm be increased, to which Kumar and Kavita agreed. The new profit-sharing ratio was agreed to be 1 : 2 : 1. For this purpose, the goodwill of the firm was valued at two years’ purchase of the average profits of last five years. The profits of the last five years were as follows:
YearProfit (₹)
I4,00,000
II4,80,000
III7,33,000
IV (Loss)33,000
V2,20,000
You are required to
(i) Calculate the goodwill of the firm.
(ii) Pass necessary Journal Entry for the treatment of goodwill on change in profit-sharing ratio of Kumar, Gupta and Kavita. [CBSE Delhi 2015]

Answer:
(i) Calculation of Goodwill of the firm
Average Profit = \( \frac{\text{₹}(4,00,000 + 4,80,000 + 7,33,000 - 33,000 + 2,20,000)}{5} \) = ₹3,60,000
Goodwill of the firm = 2 × 3,60,000 = ₹7,20,000
(ii) Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
Gupta’s Capital A/c   Dr.
    To Kumar’s Capital A/c
    To Kavita’s Capital A/c
(Being adjustment of goodwill among partners on change in profit-sharing ratio)
1,20,000



60,000
60,000

Working Notes: Calculation of Sacrifice/(Gain) of Partners due to change in Profit-sharing ratio:
Old ratio = 1 : 1 : 1; New ratio = 1 : 2 : 1
Kumar’s Sacrifice = \( \frac{1}{3} \) − \( \frac{1}{4} \) = \( \frac{4-3}{12} \) = \( \frac{1}{12} \)
Gupta’s Gain = \( \frac{1}{3} \) − \( \frac{2}{4} \) = \( \frac{4-6}{12} \) = \( \frac{-2}{12} \)
Kavita’s Sacrifice = \( \frac{1}{3} \) − \( \frac{1}{4} \) = \( \frac{1}{12} \)
Calculation of Proportionate amount of goodwill adjusted among partners:
Kumar = 7,20,000 × \( \frac{1}{12} \) = ₹60,000; Gupta = 7,20,000 × \( \frac{2}{12} \) = ₹1,20,000; Kavita = 7,20,000 × \( \frac{1}{12} \) = ₹60,000

Teacher's Note:
1. A loss year is subtracted while totalling profits for the average – do not add it.

 

Question 23. A partnership firm earned net profits during the last three years as follows:
YearNet Profit (₹)
2008–20091,90,000
2009–20102,20,000
2010–20112,50,000
The capital employed in the firm throughout the above mentioned period has been ₹4,00,000. Having regard to the risk involved, 15% is considered to be a fair return on the capital. The remuneration of all the partners during this period is estimated to be ₹1,00,000 per annum.
Calculate the value of goodwill on the basis of (i) two years’ purchase of super profits earned on average basis during the above mentioned three years and (ii) by capitalisation method. [CBSE (AI) 2011]

Answer:
Average Profit = \( \frac{(1,90,000 + 2,20,000 + 2,50,000)}{3} \) = \( \frac{6,60,000}{3} \) = ₹2,20,000
Actual Average Profit = Average Profit − Remuneration = 2,20,000 − 1,00,000 = ₹1,20,000
(i) Normal Profit = \( \frac{\text{Capital Employed} \times \text{Normal Rate of Return}}{100} \) = \( \frac{4,00,000}{100} \) × 15 = ₹60,000
Super Profit = Actual Average Profit − Normal Profit = 1,20,000 − 60,000 = ₹60,000
Goodwill = Super profit × No. of years’ purchase = 60,000 × 2 = ₹1,20,000
(ii) Capitalisation Method:
Goodwill = Capitalised value of Average Profits − Actual Capital employed
Capitalised value of Average Profits = \( \frac{\text{Average Profit}}{\text{Normal Rate of Return}} \) × 100 = \( \frac{1,20,000}{15} \) × 100 = ₹8,00,000
Goodwill = 8,00,000 − 4,00,000 = ₹4,00,000

Teacher's Note:
1. Partners’ remuneration is deducted from profits before valuing goodwill because it is a normal cost of running the business.

 

Question 24. Satish and Taruna were partners in a firm sharing profits and losses in the ratio of 3 : 2. From 1st April, 2018 they decided to share profits equally. On that date their Balance Sheet showed a credit balance of ₹35,000 in workmen compensation fund and ₹40,000 in general reserve. The goodwill of the firm on that date was valued at ₹50,000. The firm accepted a claim of ₹40,000 for workmen compensation.
Pass necessary journal entries for the above transactions on the reconstitution of the firm. [CBSE 2019 (67/2/3)]

Answer:
Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
Revaluation A/c   Dr.
Workmen Compensation Fund A/c   Dr.
    To Provision for Claim for Workmen Compensation A/c
(Being provision for claim for workmen compensation created and shortfall charged to Revaluation A/c)
5,000
35,000



40,000
General Reserve A/c   Dr.
    To Satish’s Capital A/c
    To Taruna’s Capital A/c
(Being General Reserve transferred to Partners’ Capital Accounts in old ratio)
40,000



24,000
16,000
Taruna’s Capital A/c   Dr.
    To Satish’s Capital A/c
(Being goodwill adjusted, i.e., 50,000 × 1/10)
5,000


5,000
Satish’s Capital A/c   Dr.
Taruna’s Capital A/c   Dr.
    To Revaluation A/c
(Being loss on Revaluation borne by partners)
3,000
2,000



5,000

Working Note: Satish = \( \frac{3}{5} \) − \( \frac{1}{2} \) = \( \frac{1}{10} \) (Sacrifice); Taruna = \( \frac{2}{5} \) − \( \frac{1}{2} \) = \( \frac{1}{10} \) (Gain)

Teacher's Note:
1. When the claim exceeds the Workmen Compensation Fund, the excess is a loss debited to the Revaluation Account.

 

Question 25. Raj, Shammi and Shashi are partners sharing profits and losses in the ratio of 5 : 3 : 2. They decided to share future profits and losses in the ratio 2 : 3 : 5 with effect from 1st April, 2017. Following items appear in the Balance Sheet as at 31st March, 2017:
General Reserve₹1,50,000Advertisement Suspense A/c (Dr.)₹1,00,000
Contingencies Reserve₹50,000Profit and Loss Account (Dr.)₹75,000
Pass necessary Journal entries.

Answer:
Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
2017
April 1
General Reserve A/c   Dr.
Contingencies Reserve A/c   Dr.
    To Raj’s Capital A/c
    To Shammi’s Capital A/c
    To Shashi’s Capital A/c
(Being reserves transferred to partners in their old profit-sharing ratio)
1,50,000
50,000





1,00,000
60,000
40,000
Raj’s Capital A/c   Dr.
Shammi’s Capital A/c   Dr.
Shashi’s Capital A/c   Dr.
    To Advertisement Suspense A/c
    To Profit and Loss A/c
(Being balance of Advertisement Suspense Account and debit balance of Profit and Loss Account transferred to partners in their old ratio)
87,500
52,500
35,000





1,00,000
75,000

Teacher's Note:
1. Debit balances like Advertisement Suspense and a debit P&L are losses, so partners’ capitals are debited in the old ratio.

 

Question 26. P, Q, R are partners sharing profits and losses in the ratio of 3 : 2 : 1, decided to share future profits and losses equally from 1st April, 2018. Following is an extract of their Balance Sheet as at 31st March, 2018:
Liabilities(₹)Assets(₹)
Investment Fluctuation Reserve60,000Investment (at cost)10,00,000
Show the accounting treatment if the market value of Investments is ₹10,12,000.

Answer:
DateParticularsL.F.Dr. (₹)Cr. (₹)
2018
April 1
Investments Fluctuation Reserve A/c   Dr.
    To P’s Capital A/c
    To Q’s Capital A/c
    To R’s Capital A/c
(Being transfer of excess I.F.R. to partners’ capital A/cs in old ratio)
60,000




30,000
20,000
10,000
Investments A/c   Dr.
    To Revaluation A/c
(Being value of investments brought upto market value)
12,000


12,000
Revaluation A/c   Dr.
    To P’s Capital A/c
    To Q’s Capital A/c
    To R’s Capital A/c
(Being transfer of profit on revaluation in old ratio)
12,000




6,000
4,000
2,000

Teacher's Note:
1. When market value is more than book value, the whole Investment Fluctuation Reserve goes to the old partners and the increase in investments is a revaluation gain.

 

Long Answer Questions (5 Marks)

Question 27. Ramesh, Suresh and Dinesh are partners sharing profits and losses in the ratio of 4 : 3 : 2, decided to share the future profits and losses in the ratio of 2 : 3 : 4 with effect from 1st April, 2018. An extract of their Balance Sheet as at 31st March, 2018 is:
Liabilities(₹)Assets(₹)
Workmen Compensation Reserve1,80,000
Show the accounting treatment under the following alternative cases:
Case (i) If there is no other information.
Case (ii) If a claim on account of workmen compensation is estimated at ₹90,000.
Case (iii) If a claim on account of workmen compensation is estimated at ₹1,98,000.

Answer:
Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
2018
April 1
Case (i)
Workmen Compensation Reserve A/c   Dr.
    To Ramesh’s Capital A/c
    To Suresh’s Capital A/c
    To Dinesh’s Capital A/c
(Being Workmen Compensation Reserve transferred to Partners’ Capital A/cs in their old profit-sharing ratio)
1,80,000




80,000
60,000
40,000
Case (ii)Workmen Compensation Reserve A/c   Dr.
    To Provision for Workmen Compensation Claim A/c
    To Ramesh’s Capital A/c
    To Suresh’s Capital A/c
    To Dinesh’s Capital A/c
(Being surplus of workmen compensation reserve transferred to Partners’ Capital Accounts in their old profit-sharing ratio)
1,80,000





90,000
40,000
30,000
20,000
Case (iii)Workmen Compensation Reserve A/c   Dr.
Revaluation A/c   Dr.
    To Provision for Workmen Compensation Claim A/c
(Being provision created and shortfall charged to Revaluation Account)
1,80,000
18,000



1,98,000
Ramesh’s Capital A/c   Dr.
Suresh’s Capital A/c   Dr.
Dinesh’s Capital A/c   Dr.
    To Revaluation A/c
(Being loss on revaluation transferred to Partners’ Capital Accounts in their old profit-sharing ratio)
8,000
6,000
4,000




18,000

Teacher's Note:
1. The reserve is always shared in the old ratio, whatever the new ratio is; only the surplus over the claim goes to the partners.

 

Question 28. L, M and N are partners sharing profits and losses in the ratio of 4 : 3 : 2. They decide to share future profits and losses in the ratio of 2 : 3 : 4 with effect from 1st April, 2017. An extract of their Balance Sheet as at 31st March, 2017 is:
Liabilities(₹)Assets(₹)
Investments Fluctuation Reserve9,000Investments (At cost)1,00,000
Show the accounting treatment under the following alternative cases:
Case (i) If there is no other information.
Case (ii) If the market value of investments is ₹1,00,000
Case (iii) If the market value of investments is ₹95,500
Case (iv) If the market value of investments is ₹1,09,000
Case (v) If the market value of investments is ₹73,000.

Answer:
Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
2017
April 1
Case (i)
Investments Fluctuation Reserve A/c   Dr.
    To L’s Capital A/c
    To M’s Capital A/c
    To N’s Capital A/c
(Being balance of investments fluctuation reserve transferred to partners’ capital accounts)
9,000




4,000
3,000
2,000

Case (ii) Same Solution as given in Case (i).
DateParticularsL.F.Dr. (₹)Cr. (₹)
2017
April 1
Case (iii)
Investments Fluctuation Reserve A/c   Dr.
    To Investments A/c
    To L’s Capital A/c
    To M’s Capital A/c
    To N’s Capital A/c
(Being excess of investments fluctuation reserve transferred to partners’ Capital Accounts in their old profit-sharing ratio)
9,000





4,500
2,000
1,500
1,000
Case (iv)Investments Fluctuation Reserve A/c   Dr.
    To L’s Capital A/c
    To M’s Capital A/c
    To N’s Capital A/c
(Being investments fluctuation reserve transferred to partners’ Capital Accounts in their old profit-sharing ratio)
9,000




4,000
3,000
2,000
Investments A/c   Dr.
    To Revaluation A/c
(Being the value of investments brought up to market value)
9,000


9,000
Revaluation A/c   Dr.
    To L’s Capital A/c
    To M’s Capital A/c
    To N’s Capital A/c
(Being profit on revaluation transferred to capital A/cs)
9,000




4,000
3,000
2,000
Case (v)Investment Fluctuation Reserve A/c   Dr.
Revaluation A/c   Dr.
    To Investment A/c
(Being fall in market value of investments adjusted through investments fluctuation reserve and shortage charged to revaluation account)
9,000
18,000



27,000
L’s Capital A/c   Dr.
M’s Capital A/c   Dr.
N’s Capital A/c   Dr.
    To Revaluation A/c
(Being the transfer of loss on revaluation to partner’s capital accounts)
8,000
6,000
4,000




18,000

Note: The market value of investment is assumed to be ₹1,00,000 for case (i).

Teacher's Note:
1. Compare the fall in value with the reserve: the reserve absorbs the fall first, any excess reserve goes to partners, and any shortfall is a revaluation loss.

 

Question 29. From the following information, calculate the value of goodwill of the firm of Chander and Gupta:
(a) At 3 years purchase of average profits,
(b) At 3 years purchase of super profits,
(c) On the basis of capitalisation of super profits,
(d) On the basis of capitalisation of average profits,
(i) Average capital employed in the business ₹7,00,000.
(ii) Net trading results of the firm for the past years = Profit 2014 – ₹1,47,600; Loss 2015 – ₹1,48,100; Profit 2016 – ₹4,48,700.
(iii) Rate of interest expected from capital having regard to the risk involved 18%.
(iv) Remuneration to each partner for his service ₹500 per month.

Answer:
(i) Calculation of Average Maintainable Profits and Super Profit:
(₹)
Total Profits (₹1,47,600 − ₹1,48,100 + ₹4,48,700)4,48,200
Average Profit, i.e., ₹4,48,200 ÷ 31,49,400
Less: Remuneration of 2 partners @ ₹500 p.m. (2 × 500 × 12)12,000
Average Profit (maintainable)1,37,400
Less: Normal Profit = 7,00,000 × \( \frac{18}{100} \)1,26,000
Super Profit11,400

(ii) Calculation of Value of Goodwill:
(a) At 3 years’ purchase of average profits: Average maintainable profits × No. of years’ purchase = ₹1,37,400 × 3 = ₹4,12,200
(b) At 3 years’ purchase of super profits: Super profits × No. of years’ Purchase = ₹11,400 × 3 = ₹34,200
(c) On the basis of capitalisation of super profits: Super Profit × \( \frac{100}{\text{Normal rate of return}} \) = ₹11,400 × \( \frac{100}{18} \) = ₹63,333
(d) On the basis of capitalisation of average profits: Average maintainable Profit × \( \frac{100}{\text{Normal rate of return}} \) = ₹1,37,400 × \( \frac{100}{18} \) = ₹7,63,333
Less: Actual Capital employed = ₹7,00,000; Goodwill = ₹63,333

Teacher's Note:
1. Capitalisation of super profit and capitalisation of average profit always give the same goodwill – a quick check of your arithmetic.

 

Question 30. Ram, Mohan, Sohan and Hari were partners in a firm sharing profits in the ratio of 4 : 3 : 2 : 1. On 1st April, 2016, their Balance Sheet was as follows:Balance Sheet of Ram, Mohan, Sohan and Hari as at 1st April, 2016
Liabilities(₹)Assets(₹)
Capitals:Fixed Assets9,00,000
Ram4,00,000Current Assets5,20,000
Mohan4,50,000
Sohan2,50,000
Hari2,00,00013,00,000
Workmen Compensation Reserve1,20,000
14,20,00014,20,000
From the above date, the partners decided to share the future profits in the ratio of 1 : 2 : 3 : 4. For this purpose, the goodwill of the firm was valued at ₹1,80,000. The partners also agreed for the following:
(i) The Claim for Workmen Compensation has been estimated at ₹1,50,000.
(ii) Adjust the capitals of the partners according to new profit sharing ratio by opening partners’ current accounts.
Prepare Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the reconstituted firm. [CBSE Delhi 2017]

Answer:
Revaluation Account
Dr.Cr.
Particulars₹Particulars₹
To Claim for Workmen Compensation30,000By Loss on revaluation transferred to Partners’ Capital A/cs:
Ram 12,000
Mohan 9,000
Sohan 6,000
Hari 3,000
30,000
30,00030,000

Partners’ Capital Accounts
Dr.Cr.
ParticularsRam ₹Mohan ₹Sohan ₹Hari ₹ParticularsRam ₹Mohan ₹Sohan ₹Hari ₹
To Revaluation A/c12,0009,0006,0003,000By Balance b/d4,00,0004,50,0002,50,0002,00,000
To Ram’s Capital A/c———54,000By Sohan’s Capital A/c—18,000——
To Mohan’s Capital A/c——18,000—By Hari’s Capital A/c54,000———
To Partners’ Current A/cs3,15,0002,05,000——By Partners’ Current A/cs——1,55,0003,65,000
To Balance c/d1,27,0002,54,0003,81,0005,08,000
4,54,0004,68,0004,05,0005,65,0004,54,0004,68,0004,05,0005,65,000

Balance Sheet of Ram, Mohan, Sohan and Hari as at 1st April, 2016
Liabilities(₹)Assets(₹)
Partners’ Capital A/cs:Fixed Assets9,00,000
Ram1,27,000Current Assets5,20,000
Mohan2,54,000Partners’ Current A/cs:
Sohan3,81,000Sohan1,55,000
Hari5,08,00012,70,000Hari3,65,0005,20,000
Claim for Workmen Compensation1,50,000
Partners’ Current A/cs:
Ram3,15,000
Mohan2,05,0005,20,000
19,40,00019,40,000

Working Note:
Old Ratio = 4 : 3 : 2 : 1; New Ratio = 1 : 2 : 3 : 4; Sacrificing Ratio = Old Ratio − New Ratio
Ram = \( \frac{4}{10} \) − \( \frac{1}{10} \) = \( \frac{3}{10} \) (Sacrifice); Mohan = \( \frac{3}{10} \) − \( \frac{2}{10} \) = \( \frac{1}{10} \) (Sacrifice)
Sohan = \( \frac{2}{10} \) − \( \frac{3}{10} \) = (\( \frac{1}{10} \)) (gain); Hari = \( \frac{1}{10} \) − \( \frac{4}{10} \) = (\( \frac{3}{10} \)) (gain)
Goodwill = ₹1,80,000; Ram’s Sacrifice = 1,80,000 × \( \frac{3}{10} \) = ₹54,000; Mohan’s Sacrifice = 1,80,000 × \( \frac{1}{10} \) = ₹18,000
Sohan’s gain = 1,80,000 × \( \frac{1}{10} \) = ₹18,000; Hari’s gain = 1,80,000 × \( \frac{3}{10} \) = ₹54,000
Journal Entry for Adjustment of Goodwill
DateParticularsL.F.Dr. (₹)Cr. (₹)
Sohan’s Capital A/c   Dr.
Hari’s Capital A/c   Dr.
    To Ram’s Capital A/c
    To Mohan’s Capital A/c
(Being adjustment of goodwill on change in profit-sharing ratio)
18,000
54,000




54,000
18,000

Teacher's Note:
1. New capitals are found by dividing the total adjusted capital (₹12,70,000) in the new ratio; the differences go to current accounts.

 

Question 31. Ashok, Bhim and Chetan were partners in a firm sharing profits in the ratio of 3 : 2 : 1. Their Balance Sheet as on 31st March, 2015 was as follows:Balance Sheet of Ashok, Bhim and Chetan as at 31st March, 2015
Liabilities(₹)Assets(₹)
Creditors1,00,000Land1,00,000
Bills Payable40,000Building1,00,000
General Reserve60,000Plant2,00,000
Capitals:Stock80,000
Ashok2,00,000Debtors60,000
Bhim1,00,000Bank10,000
Chetan50,0003,50,000
5,50,0005,50,000
Ashok, Bhim and Chetan decided to share the future profits equally, w.e.f. 1st April, 2015. For this it was agreed that:
(i) Goodwill of the firm be valued at ₹3,00,000.
(ii) Land be revalued at ₹1,60,000 and building be depreciated by 6%.
(iii) Creditors of ₹12,000 were not likely to be claimed and hence be written off.
Prepare Revaluation Account, Partners’ Capital Accounts and Balance Sheet of the reconstituted firm. [CBSE Delhi 2016]

Answer:
Revaluation Account
Dr.Cr.
Particulars₹Particulars₹
To Building A/c6,000By Land A/c60,000
To Partners’ Capital A/cs:
(transfer of profit)
Ashok 33,000
Bhim 22,000
Chetan 11,000
66,000By Creditors A/c12,000
72,00072,000

Partners’ Capital Accounts
Dr.Cr.
ParticularsAshok ₹Bhim ₹Chetan ₹ParticularsAshok ₹Bhim ₹Chetan ₹
To Ashok’s Capital A/c——50,000By Balance b/d2,00,0001,00,00050,000
To Balance c/d3,13,0001,42,00021,000By Revaluation A/c33,00022,00011,000
By General Reserve A/c30,00020,00010,000
By Chetan’s Capital A/c50,000——
3,13,0001,42,00071,0003,13,0001,42,00071,000

Balance Sheet as at 1st April, 2015
Liabilities(₹)Assets(₹)
Creditors88,000Land1,60,000
Bills Payable40,000Building94,000
Capitals:Plant2,00,000
Ashok3,13,000Stock80,000
Bhim1,42,000Debtors60,000
Chetan21,0004,76,000Bank10,000
6,04,0006,04,000

Working Notes:
1. Calculation for Sacrifice or Gain: Ashok = \( \frac{3}{6} \) − \( \frac{1}{3} \) = \( \frac{1}{6} \) (Sacrifice); Bhim = \( \frac{2}{6} \) − \( \frac{1}{3} \) = Nil; Chetan = \( \frac{1}{6} \) − \( \frac{1}{3} \) = −\( \frac{1}{6} \) (Gain)
2. Calculation of share of goodwill to be adjusted: Goodwill = 3,00,000 × \( \frac{1}{6} \) = ₹50,000

Teacher's Note:
1. Writing off creditors that will not be claimed reduces a liability, so it is a gain on revaluation.

 

Question 32. A, B and C were partners in a firm sharing profits in the ratio of 2 : 2 : 1. Their Balance Sheet as at 31st March, 2019 was as follows:Balance Sheet as at 31st March, 2019
Liabilities(₹)Assets(₹)
Creditors30,000Land85,000
Bills Payable20,000Building50,000
Outstanding Expenses25,000Plant1,00,000
General Reserve50,000Stock40,000
Capital:Debtors25,000
A50,000Cash5,000
B60,000
C70,0001,80,000
3,05,0003,05,000
From April 1, 2019 the partners decided to share profits in the ratio of 1 : 2 : 3. For this purpose, it was agreed that:
(i) The goodwill of the firm should be valued at ₹60,000.
(ii) Land should be revalued at ₹1,00,000. Building should be depreciated by 6%.
(iii) Creditors amounting to ₹3,000 were not to be paid.
It was decided among the partners that General Reserve has to be distributed among the partners whereas goodwill and revised values of assets and liabilities are not to be recorded in the accounts.
You are required to:
(i) Record the necessary journal entries to give effect to the above agreement.
(ii) Prepare the capital accounts of the partners.
(iii) Prepare the Balance Sheet of the reconstituted firm.

Answer:
Journal
DateParticularsL.F.Dr. (₹)Cr. (₹)
2019
April 1
General Reserve A/c   Dr.
    To A’s Capital A/c
    To B’s Capital A/c
    To C’s Capital A/c
(Being General Reserve transferred to partners’ capital accounts due to change in profit-sharing ratio)
50,000




20,000
20,000
10,000
C’s Capital A/c   Dr.
    To A’s Capital A/c
    To B’s Capital A/c
(Being the adjustment for revaluation of assets and liabilities and goodwill on change in profit-sharing ratio)
22,500



17,500
5,000

Partners’ Capital Accounts
Dr.Cr.
ParticularsA ₹B ₹C ₹ParticularsA ₹B ₹C ₹
To A’s Capital A/c——17,500By Balance b/d50,00060,00070,000
To B’s Capital A/c——5,000By General Reserve20,00020,00010,000
To Balance c/d87,50085,00057,500By C’s Capital A/c17,5005,000—
87,50085,00080,00087,50085,00080,000

Balance Sheet as at 1st April, 2019
Liabilities(₹)Assets(₹)
Creditors30,000Land85,000
Bills Payable20,000Building50,000
Outstanding Expenses25,000Plant1,00,000
Capitals:Stock40,000
A87,500Debtors25,000
B85,000Cash5,000
C57,5002,30,000
3,05,0003,05,000

Working Notes:
(i) Calculation of Profit or Loss on revaluation and total amount for adjustment:
(₹)
Profit due to increase in the value of Land15,000
Profit due to decrease in Creditors3,000
18,000
Less: Loss due to decrease in the value of Building3,000
Profit on Revaluation15,000
Add: Adjustment for Goodwill60,000
Total amount to be adjusted75,000

(ii) Calculation of sacrifice or gain: Old Ratio of A, B and C = 2 : 2 : 1; New Ratio = 1 : 2 : 3; Sacrifice = Old Share − New Share
A = \( \frac{2}{5} \) − \( \frac{1}{6} \) = \( \frac{7}{30} \) (Sacrifice), 75,000 × \( \frac{7}{30} \) = ₹17,500
B = \( \frac{2}{5} \) − \( \frac{2}{6} \) = \( \frac{2}{30} \) (Sacrifice), 75,000 × \( \frac{2}{30} \) = ₹5,000
C = \( \frac{1}{5} \) − \( \frac{3}{6} \) = \( \frac{9}{30} \) (Gain), 75,000 × \( \frac{9}{30} \) = ₹22,500

Teacher's Note:
1. Because revaluation profit and goodwill are both shared in the sacrificing/gaining ratio here, they can be added and adjusted by one entry.

 

Question 33. A, B and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. Their Balance Sheet as on 31st March, 2015 was as follows:Balance Sheet of A, B and C as at 31st March, 2015
Liabilities(₹)Assets(₹)
Creditors50,000Land50,000
Bills Payable20,000Building50,000
Capitals:Plant1,00,000
A1,00,000Stock40,000
B50,000Debtors30,000
C25,0001,75,000Bank5,000
General Reserve30,000
2,75,0002,75,000
From 1st April, 2015 A, B and C decided to share profits equally. For this, it was agreed that:
(i) Goodwill of the firm will be valued at ₹1,50,000.
(ii) Land will be revalued at ₹80,000 and building be depreciated by 6%.
(iii) Creditors of ₹6,000 were not likely to be claimed and hence should be written off.
Prepare Revaluation Account, Partners’ Capital Accounts and Balance Sheet of the reconstituted firm. [CBSE Delhi 2016]

Answer:
[Ans. Profit on Revaluation ₹33,000; Capital Accounts: A ₹1,56,500, B ₹71,000, C ₹10,500, Total of Balance Sheet ₹3,02,000]
Working Note: Revaluation profit = 30,000 (Land) − 3,000 (Building) + 6,000 (Creditors) = ₹33,000, shared 3 : 2 : 1. Goodwill: A sacrifices \( \frac{1}{6} \) and C gains \( \frac{1}{6} \), so C’s Capital A/c is debited and A’s credited with 1,50,000 × \( \frac{1}{6} \) = ₹25,000.

Teacher's Note:
1. Check: A = 1,00,000 + 16,500 + 15,000 + 25,000 = ₹1,56,500 – reserve, revaluation profit and goodwill all reach the capital account.

 

Question 34. Mahadev, Sukesh, Menon and Thomas were partners in a firm sharing profits in the ratio of 5 : 2 : 2 : 1. On 31st March, 2016, their Balance Sheet was as follows:Balance Sheet of Mahadev, Sukesh, Menon and Thomas as at 31st March, 2016
Liabilities(₹)Assets(₹)
Capitals:Fixed Assets18,00,000
Mahadev7,00,000Current Assets6,75,000
Sukesh6,00,000
Menon5,00,000
Thomas4,50,00022,50,000
Sundry Creditors1,50,000
Workmen Compensation Reserve75,000
24,75,00024,75,000
From the above date the partners decided to share the future profits in the ratio of 4 : 3 : 2 : 1. For this purpose the goodwill of the firm was valued at ₹1,20,000. The partners also agreed for the following:
(i) Claim against Workmen Compensation Reserve was estimated at ₹1,00,000 and ₹75,000 depreciation on fixed assets was to be provided.
(ii) Capitals of the partners will be adjusted according to the new profit sharing ratio by bringing in or paying off cash as the case may be.
Prepare Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the reconstituted firm. [CBSE (F) 2017]

Answer:
[Ans. Loss on revaluation ₹1,00,000, Balance Sheet Total ₹24,00,000.]
Working Note: Loss on revaluation = 25,000 (claim in excess of reserve) + 75,000 (depreciation) = ₹1,00,000. Goodwill: Mahadev sacrifices \( \frac{1}{10} \) and Sukesh gains \( \frac{1}{10} \) (₹12,000).

Teacher's Note:
1. Since capitals are adjusted through cash, the cash brought in and paid off cancel out, so total capital stays ₹21,50,000.

 

Question 35. S, T, U and V were partners in a firm sharing profits in the ratio of 4 : 3 : 2 : 1. On 1st April, 2016, their Balance Sheet was as follows:Balance Sheet of S, T, U and V as on 1st April, 2016
Liabilities(₹)Assets(₹)
Capitals:Fixed Assets4,40,000
S2,00,000Current Assets2,00,000
T1,50,000
U1,00,000
V50,0005,00,000
Sundry Creditors80,000
Workmen Compensation Reserve60,000
6,40,0006,40,000
From the above date, the partners decided to share the future profits in 3 : 1 : 2 : 4 ratio. For this purpose, the goodwill of the firm was valued at ₹90,000. The partners also agreed for the following:
(i) The claim against Workmen Compensation has been estimated at ₹70,000.
(ii) To adjust the capitals of the partners according to new profit sharing ratio by opening Partners’ Current Accounts.
Prepare Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the reconstituted firm. [CBSE (Delhi) 2017]

Answer:
[Ans. Loss on Revaluation ₹10,000, Balance Sheet ₹8,14,000]
Working Note: New capitals (total ₹4,90,000 in 3 : 1 : 2 : 4): S ₹1,47,000, T ₹49,000, U ₹98,000, V ₹1,96,000. Current accounts: S ₹58,000 (Cr.), T ₹1,16,000 (Cr.), U Nil, V ₹1,74,000 (Dr.).

Teacher's Note:
1. A partner’s debit current account balance is shown on the assets side, which is why the Balance Sheet total rises to ₹8,14,000.

CBSE Class 12 Accountancy Study Material: Part 1 Chapter 02 Reconstitution of a Partnership Firm Admission of a Partner

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