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12th | Admission of a Partner | Question No.  6 To 10 | Ts Grewal Solution 2022-2023

Question 6:


Mohan and Mahesh are partners in a firm sharing profits and losses in the ratio of 3 : 2. Nusrat is admitted as partner with 1/4 share in profit. Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1. Calculate new profit-sharing ratio.

Answer:


Old Profit Sharing Ratio amongst Partners (Mohan and Mahesh) is 3 : 2
Nusrat is admitted for 1/4th Share in Profits
Sacrificing Ratio of Mohan and Mahesh is 2 : 1
Nusrat acquires =2/3×1/4=2/12 from Mohan

Nusrat acquires =1/3×1/4=1/12 from Mahesh


New ratio= old ratio – new ratio

Mohan‘s new share=3/5 -2/12  =36-10/60=26/60

Mahesh ‘s new share=2/5 -1/12  =24-5/60=19/60

Nusrat’s share=1/4=15/60

New ratio= 26:19:15

 

Question 7:  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 8: 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 9:


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 10:


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

 

Ts Grewal Solution 2022-2023

Click below for more Questions

Class 12 / Volume – I

Chapter 1 – Admission of a Partner

 

Question No. 1 To 5
Question No. 5 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
Question No. 36 To 40
Question No. 41 To 45
Question No. 46 To 50
Question No. 51 To 55

Question No. 56 To 60

Question No. 61 To 65
Question No. 66 To 70
Question No. 71 To 75

Question No. 76 To 80
Question No. 81 To 83
Question No. 84 To 86

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12th TS Grewal’s Accountancy Solutions

Ts Grewal Solution 2022-2023

Ts Grewal Solution 2021-2022

Ts Grewal Solution 2020-2021