The document discusses various cases related to the admission of a new partner and the calculation of the new profit sharing ratio between the old and new partners. It provides examples and solutions for each case, including when the new partner's share is given, the new partner purchases share from old partners in a particular ratio, an old partner surrenders a portion of their share, and when an old partner retains their original share. Multiple choice questions with answers are provided for each case to help with understanding.

1. CHAPTER-8
Partnership Accounts
Unit-3
Admission of New Partner
Concept: Calculation of New Profit Sharing Ratio.
Case 1) If the New Partner ‘s share is given and nothing else given in the question.
Explanation.
In such case it is presumed that the remaining partners will share rest of the
profit in their old ratio.
E.g. A & B are partners sharing profit & loss in the ratio of 2:1.They admit a
new partner C for 1/6th share of profits. Calculate new profit sharing ratio.
Solution:.
Let the total share is 1
And the new partner C taken 1/6th share out of 1
Then remaining share is 1-1/6 =5/6
So,
A’s new share=5/6×2/3=5/9
B’s new share =5/6×1/3=5/18
A:B:C=5/9:5/18:1/6=10/18:5/18:3/18
=10:5:3
MCQ,s
1) X & Y partners sharing P&L in ratio of 3:2.they admit C into partnership for ¼ sharein
profits .Calculate new profit sharing ratio.
a)9:6:5
b)5:6:9
c)2:2:1
d) 1:1:1
2) X & Y partners sharing P&L in ratio of 1:3..they admit A into partnership for ¼ share in profits
.Calculate new profit sharing ratio.
a)16:48:22
b)1:3:4
c) 4:9:3
d) 3:9:4
3) X & Y partners sharing P&L in ratio of 3:2..they admit Z into partnership for 1/3 share in
profits .Calculate new profit sharing ratio.
a)3:2:1
b)1:2:3
c)5:4:6
d)6:4:5
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2. Key
1) (a) 2) (d) 3) (d)
Case. 2 If new partner purchase his share of profit from the old partner in a particular
ratio.
Explanation.
In such case New profit sharing ratio of the old partners will be calculated by
deducting the proportion given to the new partner from the share of old partner.
E.g. A & B partners sharing P&L in ratio of 7:5.They admit C into
partnership for 1/6 share of profits. He acquires this share as 1/24th from A
& 1/8 from B.Calculate new profit sharing ratio.
Solution:.
When the new partner C acquires 1/6th share of profits in which he take 1/24 from A
& 1/8 from B.
Therefore A’s share of profit=7/12-1/24=14-1/24=13/24
B’s share of profit=5/12-1/8=10-3/24=7/24
C’s share of profit=1/6*4/4=4/24
Hence A, B & C’s share of profit is
13/24:7/24:4/24=13:7:4
MCQ’s
1) A & B partners sharing P&L in ratio of 7:3.They admit C into partnership for 3/7 share of
profits. He acquires this share as 1/7 from A & 2/7 from B.Calculate new profit sharing
ratio.
a) 7:3:3
b) 4:2:3
c) 10:7:5
d) 39:1:30
2) A & B partners sharing P&L in ratio of 7:3..They admit C into partnership for 3/7 share of
profits. He acquires this share as 2/7 from A & 1/7 from B.Calculate new profit sharing
ratio.
a) 7:3:3
b) 4:2:3
c) 14:6:15
d) 29:11:30
Key
1) (d) 2) (d)
Case.3) When old partner surrenders a particular proportion of his share in favour of a
new partner.
Explanation.
In such a case, First of all surrender portion is to be calculated for each partner
and then this will be deducted from his old profit sharing ratio in order to calculate
his new profit sharing ratio.
E.g. A & B partners sharing P&L in ratio of 3:7.They admit C into
partnership for which A surrendered 1/3rd of his share & B surrendered 1/7th
of his share in favour of C. Calculate new profit sharing ratio.
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3. Solution:.
A’s old ratio is 3/10th
He surrendered 1/3rd of his share i.e1/3 of 3/10=1/10
A’s new share is 3/10-1/10=2/10
B’s old share is 7/10
He surrendered 1/7th of his share i.e1/7 of 7/10=1/10
B’s new share is 7/10-1/10=6/10
C’s share of profit =1/10+1/10=2/10
Proportion of profit=A:B:C=2/10:6/10:2/10
=2:6:2
MCQ’s
1) A & B partners sharing P&L in ratio of 7:3.They admit C into partnership for which A
surrendered 1/7thof his share & B surrendered 1/3rd of his share in favour of C. Calculate
new profit sharing ratio.
a) 6:2:2
b) 4:1:1
c) 3:2:2
d) none of these
Key.
1) (a)
Case.4) If new partner acquires his share from the old partners in a particular ratio:
Explanation.
In such case it is necessary to calculate the fraction of share which he got from
each partner. This fraction should be deducted from the share of old partner in to
calculate the new profit sharing ratio.
E.g.: A & B partners sharing P&L in ratio of 3:1.They admit C into
partnership for 1/4th which he acquires in the ratio of 2:1 From A & B
Calculate new profit sharing ratio.
Solution.
C get from A=1/4×2/3=2/12=2/12
& C gets from B1/4×1/3=1/12
A’s share of profit=3/4-2/12=7/12
B’s share of profit=1/4-1/12=2/12
New profit sharing ratio is 7/12:2/12:1/4
=7/12:2/12:3/12=7:2:3
MCQ’s
1 P & Q partners sharing P&L in ratio of 3:2.They admit R into partnership for 1/5 th
which he acquires in the ratio of 1:1 From P & Q. Calculate new profit sharing ratio.
a) 2:2:1
b) 5:3:2
c) 8:12:5
d) 3:5:2
Key
1) (b)
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4. Case.5) When Old Partner retains his share
e.g X,Y & Z are partners sharing profits & losses in the ratio of 3:2:1. W is admitted
with 1/6share in profits. Z would retain his original share. Find out new profit
sharing ratio.
Solution.
Let the total share be =1
Share of Z & W = 1/6+1/6=1/3
Remaining Share =1-1/3=2/3
X’s Share =3/5 2/3=6/15
Y’s Share =2/5×2/3=4/15
New Ratio of X,Y,Z&W=6/15+4/15+1/6+1/6
=12:8:5:5
MCQ’s
1) X,Y & Z are partners sharing profits & losses in the ratio of 1:1:1. W is admitted with
¼ share in profits. Z would retain his original share. Find out new profit sharing
ratio.
a) 5:5:8:6
b) 6:8:5:5
c) 4:3:2:1
d) None of above
Case.6) Sacrificing Ratio
Sacrificing ratio=Old ratio – New Ratio
Case.a) when new profit sharing ratio is given.
e.g. X & Y are partners sharing profits & losses in the ratio of 5:3. They admit Z into
partnership. The new ratio of the partner is agreed to be 4:2:1.Calculate sacrificing
ratio.
Solution.
Sacrificing ratio=Old ratio – New Ratio
X’s=5/8-4/7=35-32/56=3/56
Y’s=3/8-2/7=21-16/56=5/36
Ratio of Sacrifice=3:5
MCQ’s
1) X & Y are partners sharing profits & losses in the ratio of 2:3. They admit Z into
partnership. The new ratio of the partner is agreed to be 5:3:2. Calculate sacrificing
ratio.
a) 1:1
b) 2:3
c) 3:2
d) None of these
Case.b) If New ratio is not given and nothing is specified for sacrificing ratio then old
profit sharing ratio is sacrificing ratio.
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