Saturday, 8 February 2014

Asok Nadhani-Accountancy-Partnership Account-New Partner Admission

Admission of New Partner
By Asok Nadhani
22.1 Introduction of New Partner
When a new partner is admitted in the firm, it is desirable to revalue the assets and liability to make an updated Balance Sheet on the date of admission. He contributes capital to the firm and acquires the right to share in the assets and profit and loss of the firm. Consequently, all or some of the existing partners have to sacrifice a part of their share of profit or assets in favour of the incoming partner. Such existing are compensated by the incoming partner in the form of goodwill, which is credited to their capital account in accordance with their sacrificing ratio. Consequently, the profit sharing ratio of the partners is changed. All subsequent profits or losses will be automatically shared by the incoming partner along with old partners, as per the new profit sharing ratio.
22.2 Revaluation or Profit and Loss Adjustment Accounts
i)    When a new partner is admitted into the partnership, assets are valued and liabilities are reassessed. A Revaluation Account or Profit and Loss Account is opened for the purpose.
ii)   Revaluation account is debited with all reduction in the value of assets and increase in liabilities, and credited with increase in the value of assets and decrease in the value of liabilities.
iii)  The difference in two sides of the account will show Profit or Loss Appropriation Account, which is transferred to the Capital Accounts of old partners in the old profit sharing ratio.
22.2.1 Journal entries on Revaluation
1.
Increase the value of Assets.

Assets A/c
Dr.



To Revaluation A/c.

2.
Reduction the value of Assets.

Revaluation A/c
Dr.



To Assets A/c.

3.
Increase the value of Liabilities.

Revaluation A/c
Dr.



To Liabilities A/c.

4.
Reduction the value of Liabilities.

Liabilities A/c
Dr.



To Revaluation A/c.

5.
With the Profit in the old profit sharing ratio.
Revaluation A/c
Dr.



To Partners Capital Account A/c.

6.
With the Loss in the old Profit sharing ratio.
Partners Capital Account A/c.
Dr.



To Revaluation A/c.

7.
For recording unrecorded Assets.

Assets A/c
Dr.



To Revaluation A/c.

8.
For recording unrecorded Liabilities.

Revaluation A/c
Dr.



To Liabilities A/c.

9.
For Revaluation Expenses.

Revaluation A/c
Dr.



To Cash A/c.

Note:
i)    As a result of the entries no. 5 and 6, the Capital Account Balances of the old partners will change and the Assets and Liabilities will have to be adjusted to their proper values.
ii)   The partners may agree that Revalued figures will not be shown in the Balance Sheet and Assets and liabilities would appear the Balance Sheet at their old values.
iii)  In such case additional entries are passed as follows:
10.
With the amount of revaluation Profit in the New Profit Sharing Ratio (including newly admitted partner)

Partners Capital A/c.
Dr.


To Revaluation A/c.

11.
With the amount of revaluation Loss in the New Profit Sharing Ratio (including newly admitted partner).

Revaluation A/c.
Dr.


To Partners Capital A/c.

22.3 Calculation of New Profit Sharing Ratio and Sacrificing Ratio
On admission of a new partner, profit sharing ratio of partners will change. New ratio will depend upon the share given to new partner and also on the ratio in which old partners are sacrificing or contributing towards the share of new partner.
i)      Share of New Partner: Share is given to new partner according to agreement .He may acquire his share of future profit either from one partner or from all the partners.
ii)    Profit Sharing Ratio of Old Partners:
Remaining shares = 1 – New Partner’s Share
Old Partner’s New Share = Remaining Shares x Old profit sharing ratio
Or Old Sharing Ratio – Sacrificing Ratio
iii)   Sacrificing Ratio = Old Profit Sharing Ratio – New Profit Sharing Ratio.
Case-1
Old Partners: A, B and C; Old profit sharing Ratio 5:3:2; New partner D is admitted for ¼ share. He gets his share from old partners in old profits sharing ratio.
In this case new profit sharing ratio will be calculated as under:
D gets ¼ th share in total profit. Therefore combined share of A, B & C after D’s admission will be (1-1/4) = ¾.
This ¾ share will be allocated among A, B and C in the ratio of 5:3:2. Thus new ratio will be:
A = ¾ X 5/10 = 15/40;
B = ¾ X 3/10 = 9/40;
C = ¾ X 2/10 = 6/40;
D = ¼ or 10/40
i.e A: B:C:D = 15:9:6:10
Sacrificing ratio of A, B and C is-
A = 5/10 – 15/40 = 5/40
B = 3/10 – 9/40 =3/40
C = 2/10 – 6/40 = 2/40
5:3:2 i.e. old ratio.
Case -2
Old Partners A, B and C; Old profit sharing ratio 5:3:2; New Partner D is admitted for ¼ share, which he gets equally from all the old partners.
In this case new profit sharing ratio will be calculated as under:
D gets ¼ share in profits in equal proportion from all partners. Therefore, contribution by each partner will be ¼ x 1/3 = 1/12
The new ratio will be calculated by deducting 1/12 from old share of each partner.
A = 5/10 – 1/12 = 25/60;
B = 3/10 – 1/12 = 13/60;
C = 2/10 – 1/12 = 7/60;
D = ¼
Therefore new ratio of A, B, C and D = (25/60):(13/60):(7/60):(1/4) = (25/60):(13/60):(7/60):(15/60) = 25:13:7:15
Sacrificing ratio of A, B and C is-
A = 5/10 – 25/60 = 5/60
B = 3/10 – 13/60 = 5/60
C = 2/10 – 7/60 = 5/60
i.e. 5:5:5 or 1:1:1
Case-3
Old Partners A, B and C; Old profit sharing ratio 5:3:2; New Partner D is admitted for ¼ share, Only A and B contribute towards the share of D.
In the above case C’s share will not be altered, because he is not contributing anything towards the share given to D. Contributions by A and B will be as under:
A = ¼ x 5/8 = 5/32;
B = ¼ X 3/8 = 3/32
Thus new ratio will be:
A = 5/10 – 5/32 = 55/160;
B = 3/10 –  3/32 = 33/160;
C = 2/10 or 32/160;
D = ¼ or 40/160
i.e. 55:33:32:40
Ratio of sacrifice by A and B in this case will be
A = 5/10 – 55/160 = 25/160
B = 3/10 – 33/160 = 15/160
i.e. 25:15 or 5:3
If ratio in which old partners are contributing towards the share of new partner is not mentioned it will be assumed that they are contributing in old ratio.

Example 1 (New profit sharing ratio)
X and Y are in partnership sharing profits and losses at the ratio of 5:3. They admitted Z as 1/4th partner. For computation of new profit sharing ratio
(i)     Firstly, deduct the share offered to new partner from 1.
1 – ¼ = 3/4
(ii)    Divide the balance of share between X and Y at the ratio of 5:3.
X = ¾ x 5/8 = 15/32.
Y = ¾ x 3/8 = 9/32.
(iii)   New profit sharing ratio is

X
:
Y
:
Z

15/32
:
9/32
:
1/4
Or
15/32
:
9/32
:
8/32
i.e.
15
:
9
:
8
Example 2:
A and B are equal partners. They admit C and D as partners with 1/5 and 1/6 share respectively. The new profit sharing ratio of all the partners is computed below:
[C.A. 2007 May]
Solution:
Let total profit or losses of the firm be 1
Shares of new partners, C and D is 1/5 and 1/6 respectively.
Balance remaining = 1 – (1/5 + 1/6) = 1 – 11/30 = 19/30 to be shared equally by A and B
New profit sharing ratio of A & B = (19/30) /2:(19/30) /2 = 19/60:19:60
New profit sharing ratio will be A: B: C: D = 19/60:19/60:1/5:1/6 = 19/60:19/60:12/60:10/60 i.e.19: 19: 12: 10.
Sacrificing Ratio
Sacrificing Ratio means forgoing a fraction of share in favour of a new partner by the old ones.
It is determined at the time of admission of a partner as
Sacrificing Ratio = Old Profit Sharing Ratio – New Profit sharing ratio
Example
X and Y are in partnership sharing profits in the ratio of 3:5. They admit Z and the new profit sharing ratio is X :Y:Z =  2:3:5 calculate the Sacrificing Ratio.
Solution:
Sacrifice by X = 3/8 – 2/10 = 7/40
Sacrifice by Y = 5/8 – 3/10 = 13/40
\Sacrifice Ratio = 7:13.
22.3 Goodwill
i)    The goodwill should be recorded in the books only when some consideration in money has been paid for it. In case of admission of a partner, if the incoming partner brings any premium over and above his capital contribution at the time of his admission, such premium should be distributed to other existing partners. When a new partner is admitted to a firm, the old partners generally sacrifice in favour of the new partner in terms of lower profit sharing ratio in the future. Therefore, the goodwill premium brought in by the new partner shall be given to the existing partners on the basis of profit sacrificing ratio. The profit sacrificing ratio is computed by deducting the new profit sharing ratio from the old profit sharing ratio.
ii)   As per AS-10, any self generated goodwill can not be raised in the books. Only purchased goodwill should be shown in the books of accounts.
iii)  There may be 3 situations:
-   When the New Partner pays premium for Goodwill.
-   When no Goodwill premium is brought by incoming partner.
-   When Goodwill is paid privately.
 (1)  The new partner pays the premium for goodwill:-
a)      Goodwill Premium is retained in the business
             (i)  Bank A/c                                                                        Dr.
                         To Premium for Goodwill A/c
             (ii) Premium for Goodwill A/c                                              Dr.
                         To Old Partners Capital A/c (Sacrificing Ratio)
b)      Goodwill premium is withdrawn by old partners:
             (iii) Old Partners Capital A/c                                               Dr.
                         To Bank A/c
(2)  No Goodwill premium is brought by incoming partner
a)     Goodwill raised:
(i) Goodwill A/c                                                                  Dr.
               To Old Partners’ Capital A/c (Old Profit Sharing Ratio)
Note: Above Entry is passed after considering the amount of goodwill already appears in the firms Balance Sheet.
b)     Goodwill written off: If no goodwill is to appear in the books
                              (ii) All Partners Capital A/c                                                     Dr.
                                         To Goodwill A/c
Note: In this case all the partners’ capital account (including the new partner) will be debited in the new profit sharing ratio.)
(3) Goodwill is paid privately:
In this case, no adjustment is required.

Example: A, B & C are equal partners. They decided to take D who brought in Rs.48,000 as goodwill. The new profit sharing ratio is 3:3:2:2.
Old Ratio – New Ratio = Sacrificing Ratio.
A = 1/3 – 3/10 = 1/30
B = 1/3 – 3/10 = 1/30
C = 1/3 – 2/10 = 4/30
So, Goodwill should be shared in the ratio 1:1:4. Rs.48,000 brought by D would be distributed by A, B, C.
Date
Particulars

Rs.
Rs.

Cash A/c
Dr.
48,000


To A’s Capital A/c (48,000 x 1/6)


8,000

To B’s capital A/c (48,000 x 1/6)


8,000

To C’s Capital A/c(48,000 x 2/6)


32,000
Illustration 1 (Revaluation of Assets and Liabilities, goodwill calculation)
X and Y are partners in a firm, sharing profits and losses in the ratio of 5:3. The Balance Sheet of X and Y as on 01.01.2010 was as follows:
Liabilities

Amount
(Rs.)
Assets

Amount
(Rs.)
Sundry Creditors

12,000
Building

26,000
Bills Payable

8,000
Furniture

2,000
Bank Overdraft

10,000
Stock-in-trade

20,000
Capital Accounts:


Debtors
40,000

X
40,000

Less: Provision
300
39,700
Y
30,000
70,000
Investment

4,500



Cash

7,800


1,00,000


1,00,000
Z was admitted to the firm on the above date on the following terms:
(i)     He is admitted for 1/5th share in the future profits and to introduce a capital of Rs.30,000.
(ii)    The new profit sharing ratio of X, Y and Z will be 5:3:1 respectively.
(iii)   ‘Z’ is unable to bring in cash for his share of goodwill, partners therefore,  decided to raise goodwill account in the books of the firm. They further decide to calculate goodwill on the basis of Z’s share in the profits and the capital contribution made by him to the firm.
(iv)  Furniture is to be written down by Rs.800 and stock to be depreciated by 10%. A provision is required for debtors @ 5% for bad debts. A provision would also be made for outstanding wages for Rs.1,500. The value of building having appreciated is brought up to Rs.30,000. The value of investments is increased by Rs.500.
(v)   It is found that the creditors included a sum of Rs.1,500, which is not to be paid off.
Prepare the following:
1.     Revaluation Account.
2.     Partners’ Capital Account.
Solution:
Working Note:
Calculation of Goodwill:
Z’s contribution of Rs.30,000 consists of only 1/5th of capital.
Therefore, total capital of firm is, Rs.30,000 x 5 = Rs.1,50,000.
Combined capital of X, Y and Z amounts (Rs.40,000 + 30,000 + 30,000) = Rs.1,00,000.
Thus, the hidden goodwill is, (Rs.1,50,000 – Rs.1,00,000) = Rs.50,000
The new partner is not bringing goodwill in cash. So the goodwill account will be credited in the old partners in old profit sharing ratio (5:3) as below.
Goodwill A/c
Dr.
50,000

To X’s Capital A/c (50,000 x 5/8)


31,250
To Y’s Capital A/c (50,000 x 3/8)


18.750

Revaluation Account
Dr.


Cr.
Particulars
Amount
(Rs.)
Particulars
Amount
(Rs.)
To Furniture
800
By Building (30,000 – 26,000)
4,000
To Stock (10% on Rs.20,000)
2,000
By Sundry Creditors
1,500
To Provision for doubtful debts

By Investment
500
Rs.(2,000 – 300)
1,700


To Outstanding Wages
1,500



6,000

6,000
Partners’ Capital Accounts
Dr.






Cr.
Particulars
X
(Rs.)
Y
(Rs.)
Z
(Rs.)
Particulars
X
(Rs.)
Y
(Rs.)
Z
(Rs.)
To Balance c/d
71,250
48,750
30,000
By Balance b/d
40,000
30,000
-




By Cash A/c
-
-
30,000




By Goodwill A/c
31,250
18,750
-




(Working Note)




71,250
48,750
30,000

71,250
48,750
30,000

22.3.1 Proportionate Capital and Inference of goodwill
i)    Proportionate Capital’ means Capital Account balances of partners in accordance with the Profit Sharing Ratio, Proportionate Capital is maintained generally under ‘Fixed Capital Method’
ii)   In case of admission of a partner, partners may decide to make their capitals proportionate to the profit sharing ratio. In this case, if base capital is given, other partners either introduce or withdraw capital to make their capitals proportionate to the base capital.
iii)  The following procedure will be adopted:
-      First calculate total capital of the firm on the basis of capital brought by new partner.
-      Then divide total capital in new profit sharing ratio.
Example
X and Y are in partnership, sharing profit or loss in the ratio of 3:2. Their capital balances are Rs.95,000 and Rs.40,000 respectively. They admitted Z for 1/6th share and he pays Rs.30,000 as capital. Find the capital of the partners if Z’s capital is taken as base capital.
Solution:
Calculation of New profit sharing ratio:
1-1/6 = the remaining 5/6th  will be allocated between X and Y
X = 3/5 x 5/6 = 15/30
Y = 2/5 x 5/6 = 10/30
Z = 1/6th or 5/30
New ratio of X, Y and Z will be = 15/30:10/30:5/30 =3:2:1
Total Capital will be, taking Z’s capital as base = (30,000 x 6) = Rs.1,80,000. Now partners decide to make their capital as per their profit sharing ratio.
X’s Capital will be = (1,80,000 x 3/6) = Rs.90,000
Y’s Capital will be = (1,80,000 x 2/6) = Rs.60,000
Therefore, X should withdraw the excess capital balance = (95,000 -90,000) = Rs.5,000
Y should introduce the deficit balance = (60,000 – 40,000) = Rs.20,000
If the newly admitted partner brings capital more than what is required as per profit sharing ratio, then it is to be presumed that he has contributed the excess for goodwill.
Example
X and Y are in partnership who contributed proportionate capital of Rs.50,000 and Rs.70,000. Now they want to admit Z giving him 1/4th share for which Z agrees to bring Rs.40, 000.
Total capital is Rs.1,20,000, So Z should contribute (Rs.1,20,000 x ¼) = Rs.30,000
But he agrees to pay Rs.40,000. So for 1/4th share he is paying (40,000 – 30,000) = Rs.10,000  extra for goodwill. Thus total value of goodwill is Rs.10,000 x 4 i.e. Rs.40,000.
Illustration 2 (Valuation of Goodwill when the new partner contribute excess amount)
X and Y are in partnership sharing profits and losses equally. The Balance Sheet of X an Y as on 31.12.2009 was as follows:
Liabilities
Amount
(Rs.)
Assets
Amount
(Rs.)
Capital A/cs

Sundry Fixed Assets
50,000
X
50,000
Stock
40,000
Y
40,000
Bank
10,000
Sundry Creditors
10,000



1,00,000

1,00,000
On 01.01.2010 they agreed to take Z as 1/5th partner to increase the capital base to Rs.1, 20,000. Z agrees to pay Rs.45,000. Show  the necessary journal entries and partners’ capital accounts.  

Solution:
 Working Note:
1. Calculation of Goodwill
Old Profit Sharing Ratio = 1:1
New profit Sharing Ratio will be as follows-
Remaining share (1-1/5)=4/5th will be allocated between X and Y.
X = 1/2 x 4/5 = 4/10
Y = 1/2 x 4/5 = 4/10
Z = 1/5 or 2/10
Therefore, new profit sharing ratio of X , Y and Z is 4:4:2 or 2:2:1
Z’s share of capital Rs.1,20,000 x 1/5 = Rs.24,000
Goodwill = Rs.(45,000 – 24,000) = Rs.21,000 for 1/5th share
So, Total value of Goodwill = Rs.21,000 x 5 = Rs.1,05,000.
2. Calculation of Capital of partners
Total base capital of the firm is Rs.1,20,000, the capital of the partners will be shared in the new profit sharing ratio.
X’s Capital will be = (1,20,000 x 2/5) = Rs.48,000
Y’s Capital will be = (1,20,000 x 2/5) = Rs.48,000
Therefore, X should withdraw the excess capital balance = (50,000 -48,000) = Rs.2,000
Y should introduce the deficit balance = (48,000 – 40,000) = Rs.8,000

Journal Entries In the Books of X, Y and Z
Particulars

Dr.
(Rs.)
Cr.
(Rs.)
Bank A/c
To Z’s Capital A/c
(Cash brought in by Z for 1/5th share)
Dr.
45,000

45,000
Goodwill A/c [Wn.1]
To X’s Capital A/c.
To Y’s Capital A/c.
(Inferred value of goodwill raised in the books in old profit sharing ratio.)
Dr.
1,05,000

52,500
52,500
X’s Capital A/c
Y’s Capital A/c
Z’s Capital A/c
To Goodwill A/c.
(Value of goodwill Written off in the new profit sharing ratio)
Dr.
Dr.
Dr.
42,000
42,000
21,000



1,05,000
X’s Capital A/c [52,500 – 42,000]
Y’s Capital A/c[52,500 – 42,000]
To Bank A/c.
(Amount of goodwill due to X and y withdrawn)
Dr.
Dr.
10,500
10,500


21,000
X’s Capital A/c [Wn.2]
Dr.
2,000

To Bank A/c


2,000
(Excess capital withdrawn by X.)



Bank A/c [Wn.2]
Dr.
8,000

To Y’s Capital A/c


8,000
(Capital introduced by Y.)



Partners’ Capital Accounts
Dr.






Cr.
Particulars
X
Rs.
Y
Rs.
Z
Rs.
Particulars
X
Rs.
Y
Rs.
Z
Rs.
To Goodwill A/c
42,000
42,000
21,000
By Balance b/d
50,000
40,000
-
To Bank   A/c
10,500
10,500
-
By Bank A/c
-
-
45,000
To Bank A/c (capital withdrawn)
2,000
-
-
By Goodwill A/c
52,500
52,500





By Bank A/c (capital introduced)
-
8,000
-
To Balance c/d [Wn.2]
48,000
48,000
24,000





1,02,500
1,00,500
45,000

1,02,500
1,00,500
45,000

Illustration 3:
A and B are partners sharing profit and losses in the ratio of 2:3. They admit C as a new partner and the new profit sharing ratio is 1:2:2. C brings 75% of his due for goodwill. For this purpose goodwill is valued at 3 years’ purchase of last 5 years’ average profits.
Net profit for last 5 years’
Year
Rs.
2004
43,000
2005
32,000
2006
28,000
2007
35,000
2008
45,000
Calculate the value of goodwill and show how the transaction for goodwill be recorded in the books of the firm without opening a Goodwill Account.
Solution:
Working Notes:
1. Calculation of Goodwill on the admission of C:
Net profit for the last 5 years = (43,000 + 32,000 + 28,000 + 35,000 + 45,000 )= Rs.1,83,000
Therefore, value of Goodwill on the basis of 3 years’ purchase of the average profit of the lat 5 years = 1,83,000 x 3/5 = Rs.1,09,800.
Based on the new profit sharing ratio 1:2:2, C is required to bring in 2/5th of Rs.1,09,800 = Rs.43,920.
Out of this he actually brings 75% of the required amount in cash.
i.e. 75% x Rs.43,920 = Rs.32,940
Balance 25% of Rs.43,920 =  Rs.10,980 is to be debited to C’s Capital account.
2. Calculation of sacrificing ratio
Old Profit Sharing Ratio = 2:3
New profit Sharing Ratio = 1:2:2
Sacrificing ratio= Old Profit Sharing Ratio – New Profit sharing ratio
A = 2/5 - 1/5 = 1/5
B = 3/5 - 2/5 = 1/5
A:B =1:1
Journal Entries in the Books of the firm
Particulars

Dr.
(Rs.)
Cr.
(Rs.)
Bank A/c
To Premium for Goodwill A/c [Wn.1]
(Premium for goodwill brought in by C for 2/5th share)
Dr.
32,940

32,940
Premium for Goodwill A/c [Wn.1]
C’s Capital A/c
To X’s Capital A/c
To Y’s Capital A/c
(Balance Rs.10,980 is to be debited to C’s Capital account and the premium amount has been credited to A & B in the sacrificing ratio.)
Dr.
Dr.
32,940
10,980


21,960
21,960


22.4 Reserves in Balance Sheet
i)    Whenever a new partner is admitted, any reserve etc. lying in the Balance Sheet should be transferred to the Capital Accounts of the partners in the old profit sharing ratio.
ii)   The journal entry will be:
General reserve A/c
To Old Partners’ Capital A/c
Dr.

Example: A, B & C are partners in a firm sharing profit & losses in the ratio of 3:2:1. There is a General Reserve in the firm of Rs.30,000. They have decided to admit a new partner D.
So at the time of admission of new partner the general reserve will be transferred to the Capital Account of the old partners in their old profit sharing ratio.
General Reserve A/c
Dr.
30,000

To A’s Capital A/c (30,000 x 3/6)


15,000
To B’s Capital A/c


10,000
To C’s Capital A/c


5,000
(General reserve credited to old partners in the old ratio.)





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