Page No 6.55:
Question 6:
(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 retires
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 retires from the business. 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
Page No 6.56:
Question 7:
Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the
ratio of 3 : 2 : 1 : 4. Kumar retires and his share is acquired by Lakshya and
Manoj in the ratio of 3 : 2. Calculate new profit-sharing ratio and gaining
ratio of the remaining partners.
Answer:
Kumar's share=3/10acquired by Lakshya and Manoj in 3:2
Share acquired by Lakshya=3/10×3/5=9/50
Share acquired by Manoj=3/10×2/5=6/50
Lakshya's New Share=2/10+9/50=19/50
Manoj's New Share=1/10+6/50=11/50
Naresh's share (as retained)=4/10 or 20/50
New Profit Sharing Ratio=19:11:20
Gaining Ratio = 3:2 (as given in the question)
Page No 6.56:
Question 8:
A, B, and C were
partners in a firm sharing profits in the ratio of 8 : 4 : 3. B retires
and his share is taken up equally by A and C. Find the
new profit-sharing ratio.
Answer:
Old Ratio (A, B and C) = 8 : 4 : 3
B retires from the firm.
His profit share = 4/15
B’s share taken by A and C in ratio of 1: 1
Share taken by A: 4/15×1/2=2/15
Share taken by C: 4/15×1/2=2/15
New Ratio = Old Ratio + Share acquired from B
A's New Share: 8/15+2/15=10/15=2/3
C's New Share: 3/15+2/15=5/15=1/3
∴ New
Profit Ratio (A and C) = 2: 1
Page No 6.56:
Question 9:
A, B, and C are
partners sharing profits in the ratio of 5: 3: 2. C retires and his
share is taken by A. Calculate new profit-sharing ratio of A
and B.
Answer:
Old Ratio (A, B and C) = 5: 3: 2
C retires from the firm.
His profit share = 210
C’s share is taken by A in entirety
New Ratio = Old Ratio + Share acquired from C
A's New Share: 5/10+2/10=7/10
B's New Share: 3/10+0=310
∴ New
Profit Ratio (A and B) = 7: 3
Page No 6.56:
Question 10:
P, Q and R are partners sharing
profits in the ratio of 7:5:3. P retires and it is decided that
profit-sharing ratio between Q and R will be same as existing
between P and Q. Calculate New profit-sharing ratio and
Gaining Ratio.
Answer:
Calculation of Gaining Ratio
P :Q :R=7:5:3(Old ratio)
Q :R=7:5 (New ratio, same as between P & Q)
Gaining Ratio = New Ratio - Old Ratio
Q's Gain=7/12−5/15=35−20/60=15/60
R's Gain=5/12−3/15=25−12/60=13/60
Q :R=15:13
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Chapter-6: Retirement of a partner | 2021-2022
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