Q. 1. A and B were partners in a firm sharing in a firm sharing profits and losses in the ratio of 3:2.They admit C into the partnership with 1/6 share in the profits . Calculate the new profit sharing ratio?
= A : B
old profit sharing ratio = 3:2
partner c admit for 1/6 share of profit,
combined share after partner c admission = 1-1/6
=5/6
new ratio of the partners =old ratio X combined share of a and b
a 's =3/5 X 5/6
=15/30
b's =2/5 X 5/6
=10/30
c's =1/6
Now , the new profit sharing ratio will be =A:B:C
=15/30 : 10/30 : 1/6
=15/30 : 10/30 : 5/30
=3 : 2 : 1
Q. 2. A,B,C were partners in a firm sharing profits in 3:2:1 ratio . They admitted D for 10% profits . calculate the profit sharing ratio?
= old ratio = a : b : c
=3/6 : 2/6 : 1/6
partner d admitted for 10 / 100 shares of profit
Let new profit of the firm = 1
Remaining shares of partner A,B,C after d's admission
=1-10/100
=90/100
=9/10
New ratio = old ratio X remaining shares
A=3/6 X 9/10
=27/60
B=2/6 X 9/10
=18/60
C=1/6 X 9/ 10
=9/ 60
NEW ratio among the partners A : B: C : D
=27/60 : 18/60 : 18/60 : 9/60
=27:18:9:6
=9:6:3:2
Q.3. x and y are partners sharing profits in 5:3 ratio admitted z for 1/10 share which he acquired equally for x and y.calculate new profit sharing ratio?
= partner x and y's old profit sharing ratio = 5:3
z acquired 1/10th share equally from a and b
X and Y each sacrifice=1/10 X 1/2
=1/20
partner x new ratio=old ratio - sacrifice ratio
=5/8-1/20
= 23/40
partner y's new ratio = old ratio - sacrifice rati0
= 3/8-1/20
=13/40
therefor,new profit sharing ratio among the partners=23/40 : 13/40 : 2/40
Q.4. A, B and C are partners sharing profits in 2 : 2 : 1 ratio admitted D for 1/8 share which he acquired entirely from A. Calculate new profit sharing ratio?
=Given,
A, B and C are partners old sharing profits in 2 : 2 : 1 ratio
New partner d's share= 1/8
partner a's new share=old share - sacrifice share
= 2/5-1/8
=11/40
partner b's share=2/5
partner c's share=1/5
partner d's share=1/8
the, new profit sharing ratio=11/40 : 2/5 : 1/5 : 1/8
=11:16:8:5
Q.5. p and q are partners sharing profits in 2:1 ratio. They admitted R into partners giving him 1/5 share which he acquired from p and q in 1:2 ratio.calculate new profit sharing ratio?
=
p and r's old profit sharing ratio = 2:1
They admitted R into partners for 1/5 share which he acquired from p 1/3 and q 2/3 ratio,
partner p's new share = old ratio - sacrifice share
=2/3-1/3=1/3
partner q's new share = old ratio - sacrifice share
=1/3-2/3 = -1/3
partner R's new profit sharing ratio= p's sacrifice share + q's sacrifice share
=1/3+2/3 = 3/3 =1
Q.6. A,B,C are partners sharing profits in 3:2:2 ratio.They admitted D as a new partner for 1/5 share which he acquired from A,B and C in 2:2:1 ratiorespectively. Calculate new profit sharing ratio?
=Partner A ,B ,C’S oldprofitn sharing ratio = 3:2:2
partner D’s share in the firm =1/5
old partners new profit sharing ratio = old share-sacrificeing share
A’s new share = 3/7-2/5
= 1/35
B’s new share = 2/7-2/5
= -4/35
C’s new share = 2/7-1/5
= 3/35
Therfor,the new profit sharing ratio among the partners will be=1/35 : -4/35 : 3/35 : 1x7/5x7
=1 : -4 : 3 : 7
Q.7. A and B were partners in a firm sharing profits in 3:2 ratio . They admitted C for 3/7 share which he took 2/7 from A and 1/7 from B .Calculate new profit sharing ratio?
=Partners A and b old profit sharing ratio=3:2
New partner c’s share=3/7
partner a’s new share=3/5-2/7
=11/35
partner b’s new share=2/5
=2/5-1/7
=9/35
partner C’s new share=3x5/7x5
=15/35
Thearfor,new profit sharing ratio among the partners will be = 11 : 9 : 15
Q.8.A,B,C were partners in a firm sharing profits in 3:3:2 ratio. They admitted D as a new partner for 4/7 profits . D acquired his share 2/7 from A. 1/7 from B and 1/7 from C. Calculate new profit sharing ratio?
=Partners A,B,C old profit sharing ratio=3:3:2
New partner D’s share=4/7
partners New share=partners old profit sharing ratio-sacrifice ratio
A’s new share=3/8-2/7
=5/56
B’s new share=3/8-1/7
=13/56
C’s new share=2/8-1/7
=6/56
D’s share =4x8/7x8=32/56
Therefor,the new profit sharing ratio among the partners will be =5:13:6:32
Q.9. Radha and Rukmani are partners in a firm sharing profits in 3:2 ratio.They admitted gopi as a new partner.Radha surrendered 1/3 of her share in favour of gopi and Rukmani surrendered 1/4 of her share in favour of gopi. Calculate new profit sharing ratio?
= Radha and Rukmani’s old profit sharing ratio=3:2
Radha’s new share = Radhas old share – sacrifice share
= 3/5 – 1/3
= 4/15
Rukmani ‘s new share = 2/5 – 1/4
= 3/20
Gopi’s new share =Radha’s sacrifice + Rukmani ‘s sacrifice
=1/3 + 1/4
=7/12
Thearfor, the new profit sharing ratio = 4/15 : 3/20 :7/12
=16:9:35
Q.10. Singh,Gupta and Khan are partners in a firm sharing profits in 3:2:3 ratio.They admitted Jain as a new partner.Singh surrended 1/3 of his share in favour of jain : Gupta surrendered 1/4 of his share in favour of jain and khan surrended 1/5 in favour of jain . Calculate new profit sharing ratio?
= Singh,Gupta and Khan old profit sharing ratio= 3:2:3
Singh surrended in favour of jain = 1/3
Gupta surrendered in favour of jain =1/4
Khan surrended in favour of jain =1/5
Singh’s new share = old share – surrended share
= 3/8 – 1/3
= 1/24
Gupta’s new share = old share – surrended share
= 2/8 – 1/4
= 0/8
Khan’s new share = old share – surrended share
= 3/8 – 1/5
= 7/20
Jain’s new share = share surrended by Singh + share surrended by Gupta + share surrended by
Khan
=1/3+1/4+1/5
=47/60
Therefor,the new profit sharing ratio =1/24 : 0 : 7/20 : 47/60
=20:15:24:21
Q.11. Sandeep and navdeep are partners in a firm sharing profits in 5:3 ratio. They admitted C into the firm and the new profit sharing ratio was agreed at 4:2:1. Calculat the sacrificing ratio?
=partner sandeep’s old share=5/8
sandeep’s new share=4/7
sandeep’s sacrificing share =old share – new share
=5/8 – 4/7
= 3/56
Partner Navdeep’s old share =3/8
Navdeep’s new share =2/7
Navdeep’s sacrificing share =old share – new share
=3/8 – 2/7
=5/56
Therefor,Sandeep’s and Navdeep’s sacrificing ratio will be = 3/56 : 5/56
=3:5
Q.12.Rao and swami are partners in a firm sharing profits and losses in 3:2ratio.They admitted Ravi as a new partner for 1/8 share in the profits.The new profit sharing ratio between Rao and swami is 4:3.Calculate new profit sharing ratio and sacrificing ratio?
=Old ratio of old partners = rao:swami
=3 :2
Let the total profit be = 1
Ravi’s share = 1/8
Remaining share = 1-1/8 = 7/8
Rao’s new share = 7/8 x 4/7=28/56 = 4/8
Swami’s new share = 7/8 x 3/7 = 21/56 = 3/8
Ravi’s share = 1/8
New profit shares = 4/8 : 3/8 : 1/8
New profit sharing rayio = 4:3:1
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