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12th | Admission of a partner | Question No. 11 To 15 | Ts Grewal Solution 2024-2025

Question 11:

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 12:


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 13:


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 14:


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

Answer:


Old Ratio of Gautam and Yashica is 3 : 2.

Gautam 's sacrifice=1/3×3/5=3/15

Yashica 's sacrifice=1/10

Sacrificing Ratio=3/15:1/10 or  2 :1

New Ratio = Old Share − Share Sacrificed

Gautam 's new share=3/5-3/15=6/15

Yashica 's new share=2/5-1/10=3/10

Asma's share=3/15+1/10=9 30

New Ratio=6/15 : 3/10 : 9/30 = 4 :3 : 3

 

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

 

 

Ts Grewal Solution 2024-2025

Click below for more Questions

Class 12 / Volume – I

Chapter 4 – Admission Of A Partner

 

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
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