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12th | Admission Of A Partner | Question No. 6 To 10 | Ts Grewal Solution 2023-2024

Double Entry Book Keeping Ts Grewal Vol. 1 2019 Solutions for Class 12 Commerce ACCOUNTANCY Chapter 5 - Admission Of A Partner

Question 6:  S, B and J were partners in a firm. T was admitted as a partner in the partnership firm for 1/5th share of profits. Calculate the sacrificing ratio of S, B and J. (CBSE 2019)

Answer:



Old ratio: S:J:B=1:1:1

T is admitted for 1/5 share

Let the total Profit of firm be 1

Remaining share of the SJB after T’s admission = 1-1/5=5-1/5=4/5

New share

S=4/5×1/3=4/15

S=4/5×1/3=4/15

S=4/5×1/3=4/15

T=1/5×3/3=3/15

New profit sharing ratio of all partners S:J:B:T = 4:4:4:3

Sacrificing ratio= Old – new

S=1-3-4/15=5-4/15=1/15

J=1-3-4/15=5-4/15=1/15

B=1-3-4/15=5-4/15=1/15

Sacrificing ratio of S:J:B = 1:1:1

 

Question 7: P and Q were partners in a firm sharing profits in the ratio of 5:3. R was admitted for 1/4th share in the profits, of which he took 75% from P and the remaining from Q. Calculate the sacrificing ratio of P and Q. (CBSE 2020)


Answer:


Old ratio of P and Q = 5:3

Share of R is 1/4th in the profits

R will take 75% From P

P will take 75% = ¾

Remaining share of Profit from Q = 1/1 - 3/4 = ¼

Sacrificing ratio of P and Q = 3:1

 

 

Question 8:


Kabir and Farid are partners in a firm sharing profits and losses in the ratio of 7 : 3. Kabir surrenders 2/10th from his share and Farid surrenders 1/10th from his share in favour of Jyoti; the new partner. Calculate new profit-sharing ratio and sacrificing ratio.

Answer:


Calculation of New Ratio

Old Ratio of Kabir and Farid 7 : 3

Kabir sacrifices his share of profit in favour of Jyoti=2/10

Farid sacrifices his share of profit in favour of Jyoti =1/10

Jyoti's Share=2/10+1/10=3/10

New Ratio = Old Share − Share Sacrificed

Kabir's New Share=7/10-2/10=5/10

Farid's New Share=3/10-1/10=2/10

New Profit Sharing Ratio = 5 : 2 : 3

Calculation of Sacrificing Ratio

Since, Kabir and Farid are sacrificing 2/10 share and 1/10 share respectively, therefore the sacrificing ratio becomes 2 : 1.

 

Question 9:


Find New Profit-sharing Ratio:
(i) R and T are partners in a firm sharing profits in the ratio of 3 : 2. S joins the firm. R surrenders 1/4th of his share and T 1/5th of his share in favour of S.
(ii) A and B are partners. They admit C for 1/4th share. In future, the ratio between A and B would be 2 : 1. 
(iii) A and B are partners sharing profits and losses in the ratio of 3 : 2. They admit C for 1/5th share in the profit. C acquires 1/5th of his share from A and 4/5th share from B
(iv) A, B and C are partners in the ratio of 3 : 2 : 1. D joins the firm as a new partner for 1/6th share in profits. C would retain his original share.
(v) A and B are equal partners. They admit C and D as partners with 1/5th and 1/6th share respectively.
(vi) A and B are partners sharing profits in the ratio of 5:3. C is admitted for 3/10th share of profit half of which was gifted by A and the remaining share was taken by C equally from A and B.

 

Answer:


(i)

 

R

T

OLD RATION

3  :

2  :

Sacrificing Ratio = Old Ratio × Surrender Ratio

R’s=3/5×1/4=3/20

T’s=2/5×1/5=2/25

 

New Ratio = Old Ratio − Sacrificing Ratio

R= 3/5-3/20=9/20

T=2/5-2/25=8/25

 

S’s Share = R’s Sacrifice + S’s Sacrifice

=3/20+2/25=23/100

 

R

 

T

 

S

New profit sharing ratio =

9/20      

:

8/25

:

23/100

=

25/100       

:

32/100

:

23/100

=

25       

:

32

:

23

(ii)

 

A

B

OLD RATION

1  :

1

C admits for 1/4th share of profit

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

Combined share of A and B =1-C’s share

=1-1/4=3/4

New Ratio = Combined share of A and B ×2/3

A’s=3/4×2/3=6/12

B’s=3/4×1/3=3/12

 

A

 

B

 

C

New profit sharing ratio =

6/12

:

3/12

:

¼

=

6/12

:

3/12

:

3/12

=

2     

:

1

:

1

 

(iii)

 

A

B

OLD RATION

3 :

2

            C admits for 1/5share of profit

A’s sacrifice

= C’s share× 1/5

 

=1/5×1/5

 

=1/25

B’s sacrifice

= C’s share× 4/5

 

=1/5×4/5

 

=4/25

New Ratio = Old Ratio − Sacrificing Ratio

A’s =3/5-1/25=14/25

B’s=2/5-4/25=6/25

 

A

 

B

 

C

New profit sharing ratio =

14/25

:

6/25

:

1/5

=

14/25

:

6/25

:

5/25

=

14     

:

6

:

5

(iv)

 

X

Y

Z

OLD RATION

3  :

2  :

1

W admits for 1/6         share of profit

Let combined share of all partner after W’s admission be = 1

Combined share X and Y in the new firm =1- Z’s share- W’s share

=1-1/6-1/6

=4/6

New Ratio = Old Ratio × Combined share of X and Y

A’s

=3/5×4/6

 

 

 

 

 

=12/30

 

 

 

 

B’s

=2/5×4/6

 

 

 

 

 

=8/30

 

 

 

 

 

X

 

Y

 

Z

 

W

New profit sharing ratio =

12/30

:

8/30

:

1/6

:

1/6

=

12/30

:

8/30

:

5/30

:

5/30

=

12   

:

8

:

5

:

5

(v)

 

A

B

OLD RATION

1  :

1

C admits for 1/5 share

D admits for 1/6 share

Let combined share of all partner after C and D’s admission be = 1

Combined share of profit of A and B after C and D’s admission =1- C’s share- Z’s share

=1-1/5-1/6

=19/30

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

A’s

=1/2×19/30

 

 

 

 

 

=19/60

 

 

 

 

B’s

=1/2×19/30

 

 

 

 

 

=19/60

 

 

 

 

 

X

 

Y

 

Z

 

W

New profit sharing ratio =

19/60

:

19/60

:

1/5

:

1/6

=

19/60

:

19/60

:

12/60

:

10/60

=

19   

:

19

:

12

:

10

(vi)

A and B are partners sharing profits in the ratio of 5:3

C’s share is  3/10th

Gift by A to C = 3/10 ×1/2=3/20

Remaining half taken by C from A and B Equally

From A and B = 3/20 × ½ = 3/40

Given by A in total = 3/20+ 3/40=6+3/40=9/40

Remaining Share of A and B

A= 5/8-9/40=25-9/40=16/40

B= 3/8-3/40=15-3/40=12/40

New Ratio of A , B and C

= 16/40 : 12/40 : 3/10

= 4 : 3 :3

 

Question 10: Mahi and Rajat were in partnership sharing profits and losses in the ratio of 4:3. They admitted Kripa as a new partner. Kripa brought `60,000 as her share of goodwill premium which was entirely credited to Mahi's Capital Account. On the date of admission, goodwill of the firm was valued at `4,20,000. Calculate the new profit-sharing ratio of Mahi, Rajat and Kripa. (CBSE 2020)

Answer:


Kripa brought `60,000 as her share of goodwill premium

share of Kripa = 60,000/4,20,000=1/7 given by Mahi

Remaing share of Mahi = 4/7-1/7=3/7

New Ratio of –

Mahi

:

Rajat

:

Kripa

3/7

:

3/7

:

1/7

 

 

 

Ts Grewal Solution 2023-2024

Click below for more Questions

Class 12 / Volume – I

Chapter 4 – Admission Of A Parnter

 

Question No. 1 To 5
Question No. 6 To 10
Question No. 11 To 15
Question No. 16 To 20
Question No. 21 To 25
Question No. 26 To 30
Question No. 31 To 35