12th | Admission of A  Partner | Question No. 16 To 20 | Ts Grewal Solution 2025-2026

A, B, C and D are in partnership sharing profits and losses in the ratio of 36 : 24 : 20 : 20 respectively. E joins the partnership for 20% share and A, B, C and D in future would share profits among themselves as 3/10 : 4/10 : 2/10 : 1/10. Calculate new profit-sharing ratio after E's admission.

	A		B		C		D
OLD RATIO  =	36	:	24	:	20	:	20

E is admitted for 20/100 share

Let combined share of profit of all partners after E’s admission = 1

Combined share of A, B, C and D after E’s admission = 1 − E’s Share
=1-20/100

=80/100

New Ratio = Combined of A, B, C and D  Agreed Share of A, B, C and D

A’s

=80/100×3/10

=24/100

B’s

=80/100×4/10

=32/100

C’s

=80/100×2/10

=16/100

D’s

=80/100×1/10

=8/100

A

B

C

D

E

New profit sharing ratio =

24/100

:

32/100

:

16/100

:

8/100

:

20/100

=

6

:

8

:

4

:

2

:

5

 

Amit and Vidya are partners sharing profits in the ratio of 3 : 2. They admit Chintan into partnership who acquires 1/5th of his share from Amit and 4/25th share from Vidya. Calculate New Profit-sharing Ratio and Sacrificing Ratio.

Calculation of New Profit Sharing Ratio

Amit: Vidya=3:2 (Old Ratio)

Chintan acquires 1/5th of his share from Amit And,

Remaining 4/5th (1−1/5) of his share from Vidya.

If 4/5th share of Chintan =4/25

Chintan 's share=4/25×54=5/25

Amit 's sacrifice=1/5×1/5=1/25

Vidya 's sacrifice=4/25

Amit 's new share=3/5−1/25=1/5−1/25=14/25

Vidya 's new share=2/5−4/25=10−4/25=6/25

Chintan 's new share=1/5×5/5=5/25

Amit:Vidya:R=14:6:5

Sacrificing Ratio=1:4

 

Anil and Bimal are partners. They admit Raman as a partner for 1/4 share.

You are required to determine:

(a) Profit-sharing ratio between Anil and Bimal before Raman's admission as a partner.

(b) Profit-sharing ratio after Raman's admission; and

(c) Sacrificing Ratio.

 

(a) Profit-sharing ratio between Anil and Bimal before Raman's admission as a partner.

 

Since no ratio is given in the Question, Profit-sharing ratio between Anil and Bimal before Raman's admission as a partnerwill be equal

Profit-sharing ratio = 1:1

 

(b) Profit-sharing ratio after Raman's admission

 

Profit share of Raman as a partner for 1/4

Left after Profit share of Raman = 1-1/4= 3/4

 

Calculation of profit share in remaining profit

Jiten	=	3/4	×	1/2	=	3/8
Rajiv	=	3/4	×	1/2	=	3/8

 

Calculation of New profit sharing ratio

Jiten	:	Rajiv	:	Raman
3/8	:	3/8	:	1/4
3/8	:	3/8	:	2/8

New ratio=  3:3:2

 

(c) Sacrificing Ratio.

 

Jiten	=	1/2	-	3/8	=	4-3/8	=	1/8
Rajiv	=	1/2	-	3/8	=	4-3/8	=	1/8

Sacrificing ratio=  1:1

 

Gold and Silver are partners sharing profits and losses in the ratio of 2 : 5. They admit Copper on the condition that he will bring   ` 14,000 as his share of goodwill to be distributed between Gold and Silver. Copper's share in the future profits or losses will be 1/4th. What will be the new profit-sharing ratio and what amount of goodwill brought in by Copper will be received by Gold and Silver? 

 

	A	B
OLD RATION	2  :	5

C is admitted for 1/4share

Let the combined share of A, B and C be = 1

Combined share of A and B after C’s admission = 1 − C’s share

=1-1/4

=3/4

New Ratio = Old Ratio - Combined share of A and B

A’s	=2/7×3/4
	=6/28
B’s	=5/7×3/4
	=15/28

New profit sharing ratio=

A		B		C
6/28	:	15/28	:	1/4
6/28	:	15/28	:	7/28
6	:	15	:	7

Distribution of C’s share of Goodwill OR A and B will be covered

C’s share of Goodwill =   ` 14,000

A will get =14,000×2/7=4,000

B will get =14,000×5/7=10,000

 

Vimal and Nirmal are partners in a firm sharing profits and losses in the ratio of 3: 2. A new partner Kailash is admitted. Vimal gives 1/5th of his share and Nirmal gives 2/5th of his share in favour of Kailash. For the purpose of Kailash's admission, goodwill of the firm is valued at 75,000 and Kailash brings his share of goodwill in cash which is retained in the business. Journalise the above transactions.

Old Ratio of Vimal and Nirmal is 3:2

Share of Profits Kailash will get from Vimal 1/5th of his share 3/5

= 3/5×1/5=3/25

Share of Profits Kailash will get from Nirmal 2/5th of his share 2/5

= 2/5×2/5=4/25

Remaining of –

Vimal  =  3/5 - 3/25 = 12/25

Nirmal= 2/5 - 4/25 = 6/25

Share of Kailash= 3/25 + 4/25=3+4/25=7/25

New Profit sharing ratio of Vimal, Nirmal and Kailash= 12/25 : 6/25 : 7/25

Kailash brings his share of goodwill in cash =75,000 × 7/25 = 21,000

Vimal and Nirmal will be compensated in sacrificing =3:4

Vimal =21,000×3/7=9,000

Nirmal =21,000×4/7=12,000

 

Journal Entry for Goodwill:

 

	Bank A/c    To Premium for Goodwill A/c (Being Goodwill brought in Cash)	Dr.     Dr.	21,000     21,000	21,000     21,000
	Premium for Goodwill A/c    To Vimal’s Capital A/c    To Nirmal Capital A/c (Being partners compensated in sacrificing ratio 3:4)