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

#### Question 1:

X,Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2. They admit A into partnership and give him 1/5th share of profits. Find the new profit-sharing ratio.

 X Y Z OLD RATIO 5  : 3  : 2

A is admitted for 1/5 share of profit

Let the combined share of profit for all partners after A’s admission be = 1

Combined share of X, Y and Z after A’s admission =1 − A’s share

=1-1/5

=4/5

New Ratio = Old Ratio × Combined share of X, Y and Z

X= 5/10×4/5=20/50

Y=3/10×4/5=12/50

Z=2/10×4/5=8/50

 X Y Z A New profit sharing ratio = 20/50 : 12/50 : 8/50 : 1/5 = 20 : 12 : 8 : 10 = 10 : 6 : 4 : 5

#### Question 2:

Ravi and Mukesh are sharing profits in the ratio of 7 : 3. They admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh. Calculate new profit-sharing ratio.

 X Y New profit sharing ratio= 20/50 : 12/50

Ashok admits for 3/7 share of profit

Ravi sacrifices in favour of Ashok =2/7

Mukesh sacrifices in favour of Ashok =1/7

New Ratio = Old Ratio − Sacrificing Ratio

Ravi = 7/10-2/7=29/70

Mukesh =3/10-1/7=11/70

 X Y Z New profit sharing ratio= 29/70 : 11/70 : 3/7 = 29 : 11 : 3 = 29 : 11 : 30

#### Question 3:

A and B are partners sharing profits and losses in the proportion of  7:5. They agree to admit C, their manager, into partnership who is to get 1/6th share in the profits. He acquires this share as 1/24th from A and 1/8th from B. Calculate new profit-sharing ratio.

 A B OLD RATIO 7  : 5  :

C admits for 1/6 share of profit

A sacrifices his share of profit in favour of C =1/24

B sacrifices his share of profit in favour of C =1/8

New Ratio = Old Ratio − Sacrificing Ratio

A’s 7/12-1/24=13/24

B’s 5/12-1/8=7/24

 A B C New profit sharing ratio= 13/24 : 7/24 : 1/6 = 13 : 7 : 1 = 13 : 7 : 4

#### Question 4:

A, B and C were partners in a firm sharing profits in the ratio of  3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits, which he acquired 1/16th from B and 1/16th from C. Calculate the new profit-sharing ratio of A, B, C and D

#### A’s share =3/6 (retains original share)

B’s new share=2/6-1/16=13/48

C’s new share=1/6-1/16=5/48

New ratio of  ABCD =3/6: 13/48: 5/48: 1/8 or 24:13:5:6

#### Question 5:

Bharati and Astha were partners sharing profits in the ratio of  3 : 2. They admitted Dinkar as a new partner for 1/5th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new profit-sharing ratio of Bharati, Astha and Dinkar.

Calulation of New Profit Sharing Ratio

Bharti :Astha=3:2 (Old Ratio)

Dinkar=1/5

Bharti's sacrifice=1/5×1/2=1/10

Astha's sacrifice=1/5×1/2=1/10

Bharti's new share=3/5−1/10=6−1/10=5/10

Astha's new share=2/5−1/10=4−1/10=3/10

Dinkar's new share=1/5×2/2=2/10

Bharti :Astha :Dinkar=5:3:2 (New Ratio)