12th | Admission of a Partner | Question No.  11 To 15 | Ts Grewal Solution 2022-2023

Question 11: 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

 

 

 

Question 12:


Rakesh and Suresh are sharing profits in the ratio of 4 : 3. Zaheer joins and the new ratio among Rakesh, Suresh and Zaheer is 7 : 4 : 3. Find out the sacrificing ratio.

Answer:


 

Rakesh

Suresh

Zaheer

OLD RATION

4  :

3

 

NEW RATIO

7  :

4  :

3

           

Sacrificing Ratio = Old Ratio − Sacrificing Ratio

Rakesh’s

=4/7-7/14

 

 

=1/14

 

Suresh’s

=3/7-4/14

 

 

=2/14

 

 

Rakesh

 

Suresh

Sacrificing sharing ratio =

1/14      

:

2/14

=

1    

:

2

Question 13:


Karim and Rehman are partners sharing profits in the ratio of 3 : 2. Naval is admitted as a partner. The new profit-sharing ratio among Karim, Rehman and Naval is 4 : 3 : 2. Find out the sacrificing ratio.

Answer:


 

Karim

Rehman

Naval

OLD RATION

3 :

2

 

NEW RATIO

4  :

3  :

2

Sacrificing Share = Old Ratio − New Ratio

Karim’s

=3/5-4/9

 

 

=7/45

 

Rehman’s

=2/5-3/9

 

 

=3/45

 

 

Karim

 

Rehman

Sacrificing sharing ratio =

7/45      

:

3/45

=

7   

:

3

Question 14:


A, B and C are partners sharing profits in the ratio of 4 : 3 : 2. D is admitted for 1/3rd share in future profits. What is the sacrificing ratio?

Answer:


 

A

 

B

 

C

OLD RATIO  =

4

:

3

:

2

 

D is admitted for 1/3share of profit

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

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

=1-1/3

=2/3    

New Ratio = Old Ratio  combined share of A, B and C

A’s

=4/9×2/3

 

=8/27

B’s

=3/9×2/3

 

=6/27

C’s

=2/9×2/3

 

=4/27

Sacrificing Ratio = Old Ratio − New Ratio                          

A’s

=4/9-8/27

 

 

 

 

=4/27

 

 

 

B’s

=3/9-6/27

 

 

 

 

=3/27

 

 

 

C’s

=2/7-4/27

 

 

 

 

=2/27

 

 

 

 

A

 

B

 

C

Sacrificing sharing ratio =

4/27

:

3/27

:

2/27

=

4   

:

3

:

2

Question 15:


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.

Answer:


 

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

 

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