Volume-1 | Chapter-5 | Question: 11 to 15 | Admission Of A Partner | Ts grewal solution 2020-21 | Class-12th

Page No 5.87:

Question 11:

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

Answer:

 

A

B

C

OLD RATION

3 :

2

 

NEW RATIO

4  :

3  :

2

Sacrificing Share = Old Ratio − New Ratio

A’s

=3/5-4/9

 

 

=7/45

 

B’s

=2/5-3/9

 

 

=3/45

 

 

A

 

B

Sacrificing sharing ratio =

7/45      

:

3/45

=

7   

:

3

Page No 5.87:

Question 12:

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

Page No 5.87:

Question 13:

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

Page No 5.87:

Question 14:

X and Y are partners sharing profits and losses in the ratio of 3 : 2. They admit Z into partnership. X gives 1/3rd of his share while Y gives 1/10th from his share to Z. Calculate new profit-sharing ratio and sacrificing ratio.

Answer:

Old Ratio of X and Y is 3 : 2.

X's sacrifice=13×35=315Y's sacrifice=110Sacrificing Ratio=315:110or  2 :1

New Ratio = Old Share − Share Sacrificed

X's new share=35-315=615Y's new share=25-110=310Z's share=315+110=930New Ratio=615:310:930=4 :3 : 3

Page No 5.87:

Question 15:

A, B and are partners sharing profits in the ratio of 2 : 2 : 1. D is admitted as a new partner for 1/6th share. C will retain his original share. Calculate the new profit-sharing ratio and sacrificing ratio. 

Answer:

Calculation of New Profit Sharing Ratio

Old Ratio of A, B and C  is 2 : 2 : 1

. D is admitted for 1/6th share while . C will retain his 1/5 original share

Remaining  share=1-1/6-1/5

=30-5-6/30=19/30

Remaining  share will be shared by A and B in 2:2  (old).

 

A’s

=19/30×2/4

 

 

 

=38/120

 

 

B’s

=19/30×2/4

 

 

 

=38/120

 

 

C’s

=1/5×24/24

 

 

 

=24/120

 

 

D’s

=1/6×20/20

 

 

 

=20/120

 

A

 

B

 

C

 

D

38

:

38

:

24

:

20

19

:

19

:

12

:

10

*Since nothing is mentioned about the sacrifice made by the existing partners, it is assumed that A and B sacrifice in their old ratio.

 

Calculation of Sacrificing Ratio

Sacrificing Ratio =Old ratio- new ratio

A’s

=2/5-19/60

 

=24-19/60=5/60

B’s

=2/5-19/60

 

=24-19/60=5/60

A : B = 5:5=1:1