# Volume-1 | Chapter-5 | Question: 6 to 10 | Admission Of A Partner | Ts grewal solution 2020-21 | Class-12th

#### Question 6:

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

Old Profit Sharing Ratio amongst Partners (X and Y) is 3 : 2
Z is admitted for 1/4th Share in Profits
Sacrificing Ratio of X and Y is 2 : 1
Z aquires =2/3×1/4=2/12 from X

Z aquires =1/3×1/4=1/12 from Y

New ratio= old ratio – new ratio

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

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

Z’s share=1/4=15/60

New ratio= 26:19:15

7

#### Question 8:

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=210

Farid sacrifices his share of profit in favour of Jyoti =110

Jyoti's Share=210+110=310

New Ratio = Old Share − Share Sacrificed

Kabir's New Share=710-210=510Farid's New Share=310-110=210

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 9:

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) X, Y and Z are partners in the ratio of 3 : 2 : 1. W joins the firm as a new partner for 1/6th share in profits. Z 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/losses in the ratio of 3 : 2 . C is admitted for 1/4th share. A and B decide to share equally in future.

(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 B OLD RATION 3 : 2

C admits for 1/5 share of profit

Let the combined share of all partners after C’s admission be = 1

Combined share of A and B after C’s admission =1- C’s share

=1-1/4

=3/4

New ratio of A and B each= Combined share of A and B×1/2

=3/4×1/2=3/8 each

 X Y Z New profit sharing ratio = 3/8 : 3/8 : ¼ = 3/8 : 3/8 : 2/8 = 3 : 3 : 2

#### Question 10:

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.

 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