Question 1:
Om,
Ram and Shanti 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 (Om, Ram and Shanti) =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 Om, and Ram is
calculated just by crossing out the Shanti’s share. That is, the new ratio becomes 5 : 4.
∴ New Profit Ratio (Om and Ram) = 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:
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 4:
(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
Question 5:
Keshv,
Nirmal, and Pankaj are
partners sharing profits in the ratio of 5: 3: 2. Pankaj died
and his share is taken by Keshv.
Calculate new profit-sharing ratio of Keshv
and Nirmal.
Answer:
Old Ratio
(Keshv, Nirmal, and Pankaj) = 5: 3: 2
Pankaj died from the firm.
His profit share = 210
Pankaj’s share is taken by Keshv in entirety
New Ratio = Old Ratio + Share acquired from Pankaj
Keshv 's New Share: 5/10+2/10=7/10
Nirmal 's New Share: 3/10+0=310
∴ New Profit Ratio (Keshv and Nirmal) =
7: 3
Ts Grewal Solution 2023-2024
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Class 12 / Volume – I