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 profitsharing ratio.
Answer:
Old
Profit Sharing Ratio amongst Partners (Mohan and Mahesh) is 3
: 2
Nusrat is admitted for 1/4^{th}
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 =3610/60=26/60
Mahesh ‘s new share=2/5 1/12
=245/60=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 = 11/5=51/5=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=134/15=54/15=1/15
J=134/15=54/15=1/15
B=134/15=54/15=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 profitsharing 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=7/102/10=5/10
Farid's New Share=3/101/10=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 Profitsharing 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= 3/53/20=9/20
T=2/52/25=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 1/4^{th} share of profit
Let the combined share of A, B and C be = 1
Combined share of A and B =1C’s share
=11/4=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 =3/51/25=14/25
B’s=2/54/25=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
=11/61/6
=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
=11/51/6
=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 3/10^{th}
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= 5/89/40=259/40=16/40
B= 3/83/40=153/40=12/40
New Ratio of A , B and C
= 16/40 : 12/40 : 3/10
= 4 : 3 :3
Ts Grewal Solution 20222023
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Class 12 / Volume – I
Chapter 1 – Admission of a Partner
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Question No. 26 To 30
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