Question 1:
A,
B and
C were partners sharing profits in the ratio of 1/2, 2/5 and 1/10.
Find the new ratio of the remaining partners if C dies.
Answer:
Old Ratio (A, B
and C) =1/2 :2/5 : 1/10 or 5 : 4 : 1
As we can see, no
information is given as to how A and B are acquiring C's profit share
after his death, so the new profit sharing ratio between A and B is calculated
just by crossing out the C’s share. That is, the new ratio becomes 5 : 4.
∴ New Profit Ratio (A and B) = 5 : 4
Question 2:
From the following
particulars, calculate new profit-sharing ratio of the partners:
(a) Shiv, Mohan and Hari were partners in a firm sharing profits in the ratio
of 5 : 5 : 4. Mohan died and his share was taken equally between Shiv and Hari.
(b) P, Q and R were partners sharing profits in the ratio of 5 : 4 : 1. P died from.
Answer:
(a)
Old Ratio (Shiv,
Mohan and Hari) = 5 : 5 : 4
Mohan’s Profit
Share = 5/14
His share is
divided between Shiv and Hari equally i.e. in the ratio of 1: 1
Share of mohan taken by shiv=5/14×1/2=5/28
Share of mohan taken by Hari=5/14×1/2=5/28
New Profit
Share = Old Profit Share + Share
taken from Mohan
Shiv’s new
share=5/14+5/28=10+5/28=15/28
Hari’s new
share=4/14+5/28=8+5/28=13/28
∴ New Profit Ratio (Shiv and Hari) = 15: 13
(b)
Old Ratio (P, Q
and R) = 5: 4: 1
P’s Profit Share =
5/10
As we can see, no
information is given as to how Q and R are
acquiring P's profit share after his death, so the new profit sharing ratio
between Q and R is calculated just by crossing out the P’s share. That is, the
new ratio becomes 4 : 1
∴New Profit Ratio (Q and R) = 4: 1
Question 3:
R,
S and
M are partners sharing profits in the ratio of 2/5, 2/5 and 1/5. M
died and his share is taken by R and S in the
ratio of 1 : 2. Calculate the new profit-sharing
ratio.
Answer:
Old
Ratio (R, S and M) = 2: 2 : 1
M retires from the firm.
His
profit share = 1/5
M’s share taken by R and S
in ratio of 1 : 2
Share taken by R: 1/5×1/3=1/15
Share taken by S: 1/5×2/3=215
New Ratio = Old Ratio + Share acquired from M
R's New Share: 2/5+1/15=6+1/15=7/15
S's New Share: 2/5+2/15=6+2/15=8/15
∴ New Profit Ratio (R and S) = 7 :
8
Question 4:
A,
B
and C were partners sharing profits in the ratio of 4
: 3 : 2. A died, B and C
will share profits in the ratio of 2 : 1. Determine
the gaining ratio.
Answer:
Old Ratio (A, B
and C) = 4 : 3 : 2
New Ratio (B and
C) = 2 : 1
Gaining Ratio=New Ratio − Old Ratio
B’s gain=2/3-3/9=6-3/9=3/9
C’s gain=1/3-2/9=3-2/9=1/9
∴Gaining Ratio = 3: 1
Question 5:
(a) W, X, Y
and Z are partners sharing profits and losses in the ratio of 1/3,
1/6, 1/3 and 1/6 respectively. Y died and W, X and Z decide
to share the profits and losses equally in future.
Calculate gaining ratio.
(b) A, B and C are partners sharing profits and losses
in the ratio of 4: 3: 2. C died. A is acquiring 4/9 of C's
share and balance is acquired by B. Calculate the new
profit-sharing ratio and gaining ratio.
Answer:
(a)
Old Ratio (W, X, Y
and Z) = of 1/3;1/6: 1/3;1/6 or 2 : 1 : 2 : 1
New Ratio (W, X
and Z) = 1 : 1 : 1
Gaining Ratio =
New Ratio − Old Ratio
W's Gain=1/3-2/6=2-2/6=0/6
X's Gain=1/3-1/6=2-1/6=1/6
Z's Gain=1/3-1/6=2-1/6=1/6
∴Gaining Ratio = 0: 1: 1
(b)
Old Ratio (A, B
and C) = 4: 3: 2
C’s Profit Share
=2/9
A acquires 4/9 of
C’s Share and remaining share is acquired by B.
Share acquired by
A=2/9×4/9=8/81
Share acquired by
B=C’s share- Share acquired by A=2/9-8/81=10/81
New Profit Share = Old Profit Share + Share acquired
from C
A’s new
share=4/9+8/81=36+8/81=44/81
B’s new share=3/9+10/81=27+10/81=37/81
New Profit Ratio A
and B = 44: 37
Gaining Ratio =
New Ratio − Old Ratio
A's Gain=44/81-4/9=44-36/81=8/81
B's Gain=37/81-3/9=37-27/81=10/81
∴Gaining Ratio = 8: 10 or 4: 5
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