NUMERICAL PROBLEMS

10.Singh, Gupta and Khan are partners in a firm sharing profits in 3:2:3 ratio. They admitted Jain as a new partner. Singh surrendered 1/3 of his share in favour of Jain: Gupta surrendered 1/4 of his share in favour of Jain and Khan surrendered 1/5 in favour of Jain. Calculate new profit sharing ratio?

11.Sandeep and Navdeep are partners in a firm sharing profits in 5:3 ratio. They admit C into the firm and the new profit sharing ratio was agreed at 4:2:1. Calculate the sacrificing ratio?

12.Rao and Swami are partners in a firm sharing profits and losses in 3:2 ratio. They admit Ravi as a new partner for 1/8 share in the profits. The new profit sharing ratio between Rao and Swami is 4:3. Calculate new profit sharing ratio and sacrificing ratio?

13.Compute the value of goodwill on the basis of four years’ purchase of the average profits based on the last five years? The profits for the last five years were as follows:

14.Capital employed in a business is Rs. 2,00,000. The normal rate of return on capital employed is 15%. During the year 2002 the firm earned a profit of Rs. 48,000. Calculate goodwill on the basis of 3 years purchase of super profit?

15.The books of Ram and Bharat showed that the capital employed on 31.12.2002 was Rs. 5,00,000 and the profits for the last 5 years : 2002 Rs. 40,000; 2003 Rs. 50,000; 2004 Rs. 55,000; 2005 Rs. 70,000 and 2006 Rs. 85,000. Calculate the value of goodwill on the basis of 3 years purchase of the average super profits of the last 5 years assuming that the normal rate of return is 10%?

16.Rajan and Rajani are partners in a firm. Their capitals were Rajan Rs. 3,00,000; Rajani Rs. 2,00,000. During the year 2002 the firm earned a profit of Rs. 1,50,000. Calculate the value of goodwill of the firm assuming that the normal rate of return is 20%?

17.A business has earned average profits of Rs. 1,00,000 during the last few years. Find out the value of goodwill by capitalisation method, given that the assets of the business are Rs. 10,00,000 and its external liabilities are Rs. 1,80,000. The normal rate of return is 10%?

18. Verma and Sharma are partners in a firm sharing profits and losses in the ratio of 5:3. They admitted Ghosh as a new partner for 1/5 share of profits. Ghosh is to bring in Rs. 20,000 as capital and Rs. 4,000 as his share of goodwill premium. Give the necessary journal entries:
a) When the amount of goodwill is retained in the business.
b) When the amount of goodwill is fully withdrawn.
c) When 50% of the amount of goodwill is withdrawn.
d) When goodwill is paid privately


19. A and B are partners in a firm sharing profits and losses in the ratio of 3:2. They decide to admit C into partnership with 1/4 share in profits. C will bring in Rs. 30,000 for capital and the requisite amount of goodwill premium in cash. The goodwill of the firm is valued at Rs, 20,000. The new profit sharing ratio is 2:1:1. A and B withdraw their share of goodwill. Give necessary journal entries?

20.Arti and Bharti are partners in a firm sharing profits in 3:2 ratio, They admitted Sarthi for 1/4 share in the profits of the firm. Sarthi brings Rs. 50,000 for his capital and Rs. 10,000 for his 1/4 share of goodwill. Goodwill already appears in the books of Arti and Bharti at Rs. 5,000. the new profit sharing ratio between Arti, Bharti and Sarthi will be 2:1:1. Record the necessary journal entries in the books of the new firm?

21.X and Y are partners in a firm sharing profits and losses in 4:3 ratio. They admitted Z for 1/8 share. Z brought Rs. 20,000 for his capital and Rs. 7,000 for his 1/8 share of goodwill. Subsequently X, Y and Z decided to show goodwill in their books at Rs. 40,000. Show necessary journal entries in the books of X, Y and Z?

22.Aditya and Balan are partners sharing profits and losses in 3:2 ratio. They admitted Christopher for 1/4 share in the profits. The new profit sharing ratio agreed was 2:1:1. Christopher brought Rs. 50,000 for his capital. His share of goodwill was agreed to at Rs. 15,000. Christopher could bring only Rs. 10,000 out of his share of goodwill. Record necessary journal entries in the books of the firm?

23.Amar and Samar were partners in a firm sharing profits and losses in 3:1 ratio. They admitted Kanwar for 1/4 share of profits. Kanwar could not bring his share of goodwill premium in cash. The Goodwill of the firm was valued at Rs. 80,000 on Kanwar’s admission. Record necessary journal entry for goodwill on Kanwar’s admission.


24.Mohan Lal and Sohan Lal were partners in a firm sharing profits and losses in 3:2 ratio. They admitted Ram Lal for 1/4 share on 1.1.2003. It was agreed that goodwill of the firm will be valued at 3 years purchase of the average profits of last 4 years which were Rs. 50,000 for 2003, Rs. 60,000 for 2004, Rs. 90,000 for 2005 and Rs. 70,000 for 2006. Ram Lal did not bring his share of goodwill premium in cash. Record the necessary journal entries in the books of the firm on Ram Lal’s admission when:
a) Goodwill already appears in the books at Rs. 2,02,500.
b) Goodwill appears in the books at Rs. 2,500.
c) Goodwill appears in the books at Rs. 2,05,000.



25.Rajesh and Mukesh are equal partners in a firm. They admit Hari into partnership and the new profit sharing ratio between Rajesh, Mukesh and Hari is 4:3:2. On Hari’s admission goodwill of the firm is valued at Rs. 36,000. Hari is unable to bring his share of goodwill premium in cash. Rajesh, Mukesh and Hari decided not to show goodwill in their balance sheet. Record necessary journal entries for the treatment of goodwill on Hari’s admission.


26.Amar and Akbar are equal partners in a firm. They admitted Anthony as a new partner and the new profit sharing ratio is 4:3:2. Anthony could not bring this share of goodwill Rs. 45,000 in cash. It is decided to do adjustment for goodwill without opening goodwill account. Pass the necessary journal entry for the treatment of goodwill?

27.Given below is the Balance Sheet of A and B, who are carrying on partnership business on 31.12.2006. A and B share profits and losses in the ratio of 2:1.

C is admitted as a partner on the date of the balance sheet on the following terms:
(i) C will bring in Rs. 1,00,000 as his capital and Rs. 60,000 as his share of goodwill for 1/4 share in the profits.
(ii) Plant is to be appreciated to Rs. 1,20,000 and the value of buildings is to be appreciated by 10%.
(iii) Stock is found over valued by Rs. 4,000.
(iv) A provision for bad and doubtful debts is to be created at 5% of debtors.
(v) Creditors were unrecorded to the extent of Rs. 1,000. Pass the necessary journal entries, prepare the revaluation account and partners’ capital accounts, and show the Balance Sheet after the admission of C.




28.Leela and Meeta were partners in a firm sharing profits and losses in the ratio of 5:3. On Is Jan. 2007 they admitted Om as a new partner. On the date of Om’s admission the balance sheet of Leela and Meeta showed a balance of Rs. 16,000 in general reserve and Rs. 24,000 (Cr) in Profit and Loss Account. Record necessary journal entries for the treatment of these items on Om’s admission. The new profit sharing ratio between Leela, Meeta and Om was 5:3:2.

29. Amit and Viney are partners in a firm sharing profits and losses in 3:1 ratio. On 1.1.2007 they admitted Ranjan as a partner. On Ranjan’s admission the profit and loss account of Amit and Viney showed a debit balance of Rs. 40,000. Record necessary journal entry for the treatment of the same.

30.A and B share profits in the proportions of 3/4 and 1/4 . Their Balance Sheet on Dec. 31, 2006 was as follows

On Jan. 1,2007, C was admitted into partnership on the following terms:
(a) That C pays Rs. 10,000 as his capital.
(b) That C pays Rs. 5,000 for goodwill. Half of this sum is to be withdrawn by A
and B.
(c) That stock and fixtures be reduced by 10% and a 5%, provision for doubtful debts be created on Sundry Debtors and Bills Receivable.
(d) That the value of land and buildings be appreciated by 20%.
(e) There being a claim against the firm for damages, a liability to the extent of Rs. 1,000 should be created.
(f) An item of Rs. 650 included in sundry creditors is not likely to be claimed and hence should be written back.
Record the above transactions (journal entries) in the books of the firm assuming that the profit sharing ratio between A and B has not changed. Prepare the new Balance Sheet on the admission of C.






31. A and B are partners sharing profits and losses in the ratio of 3:1. On Ist Jan. 2007 they admitted C as a new partner for 1/4 share in the profits of the firm. C brings Rs. 20,000 as for his 1/4 share in the profits of the firm. The capitals of A and B after all adjustments in respect of goodwill, revaluation of assets and liabilities, etc. has been worked out at Rs. 50,000 for A and Rs. 12,000 for B. It is agreed that partner’s capitals will be according to new profit sharing ratio. Calculate the new capitals of A and B and pass the necessary journal entries assuming that A and B brought in or withdrew the necessary cash as the case may be for making their capitals in proportion to their profit sharing ratio?




32.Pinky, Qumar and Roopa partners in a firm sharing profits and losses in the ratio of 3:2:1. S is admitted as a new partner for 1/4 share in the profits of the firm, whichs he gets 1/8 from Pinky, and 1/16 each from Qmar and Roopa. The total capital of the new firm after Seema’s admission will be Rs. 2,40,000.Seema is required to bring in cash equal to 1/4 of the total capital of the new firm. The capitals of the old partners also have to be adjusted in proportion of their profit sharing ratio. The capitals of Pinky, Qumar and Roopa after all adjustments in respect of goodwill and revaluation of assets and liabilities have been made are Pinky Rs. 80,000, Qumar Rs. 30,000 and Roopa Rs. 20,000. Calculate the capitals of all the partners and record the necessary journal entries for doing adjustments in respect of capitals according to the agreement between the partners?






33.The following was the Balance Sheet of Arun, Bablu and Chetan sharing profits
and losses in the ratio of

They agreed to take Deepak into partnership and give him a share of 1/8 on the following terms: a) that Deepak should bring in Rs. 4,200 as goodwill and Rs. 7,000 as his Capital; (b) that furniture be depreciated by 12%; (c) that stock be depreciated by 10% (d) that a Reserve of 5% be created for doubtful debts: (e) that the value of land and buildings having appreciated be brought upto Rs. 31,000 ;(f) that after making the adjustments the capital accounts of the old partners (who continue to share in the same proportion as before) be adjusted on the basis of the proportion of Deepak’s Capital to his share in the business, i.e., actual cash to be paid off to, or brought in by the old partners as the case may be. Prepare Cash Account, Profit and Loss Adjustment Account (Revaluation Account) and the Opening Balance Sheet of the new firm.

34.Azad and Babli are partners in a firm sharing profits and losses in the ratio of 2:1. Chintan is admitted into the firm with 1/4 share in profits. Chintan will bring in Rs. 30,000 as his capital and the capitals of Azad and Babli are to be adjusted in the profit sharing ratio. The Balance Sheet of Azad and Babli as on December 31, 2006 (before Chintan’s admission) was as follows:

It was agreed that:
i) Chintan will bring in Rs. 12,000 as his share of goodwill premium.
ii) Buildings were valued at Rs. 45,000 and Machinery at Rs. 23,000.
iii) A provision for doubtful debts is to be created @ 6% on debtors.
iv) The capital accounts of Azad and Babli are to be adjusted by opening current accounts.
Record necessary journal entries, show necessary ledger accounts and prepare the Balance Sheet after admission.

35.Ashish and Dutta were partners in a firm sharing profits in 3:2 ratio. On Jan. 01, 2007 they admitted Vimal for 1/5 share in the profits. The Balance Sheet of
Ashish and Dutta as on Jan. 01, 2007 was as follows:

It was agreed that:
i) The value of Land and Building be increased by Rs. 15,000.
ii) The value of plant be increased by 10,000.
iii) Goodwill of the firm be valued at Rs. 20,000.
iv) Vimal to bring in capital to the extent of 1/5th of the total capital of the new firm.
Record the necessary journal entries and prepare the Balance Sheet of the firm after Vimal’s admission.