# Commerce Accountancy Chapter 5 - Admission Of A Partner

#### 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.

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

#### Page No 5.85:

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)

#### 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)

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.

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.

(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

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