Question 1:
Gita, Radha and Garv were partners sharing profits in the ratio of
1/2, 2/5 and 1/10. Find the new ratio of the remaining partners if Garv retires.
Answer:
Old
Ratio (Gita,
Radha and Garv) =1/2 :2/5 : 1/10 or 5 : 4 : 1
As
we can see, no information is given as to how Gita and Radha are
acquiring Garv's profit share after his retirement,
so the new profit sharing ratio between Gita and Radha is calculated just by crossing out the Garv’s share. That is, the new ratio becomes 5 : 4.
∴ New Profit Ratio (Gita and Radha) = 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 retired and his share was
divided equally between Shiv and Hari.
(b) P, Q and R were partners sharing profits in the ratio of 5 : 4 : 1. P retires from the firm.
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 retirement, 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 decides to retire from the business 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:
X, Y and Z are partners sharing profits in the ratio of
1/2, 3/10, and 1/5. Calculate the gaining ratio of remaining partners when
Y retires from the firm.
Answer:
Calculation
of Gaining Ratio
X: Y: Z Old Ratio=1/2:3/10:1/5=5:3:2/10
New Ratio after Y's retirement = 5: 2
Gaining Share = New Share – Old Share
X's Gain=5/7-5/10=15/70
Z's Gain=2/7-2/10=6/70
Gaining Ratio = 15: 6 or 5: 2
Question 5:
Sarthak, Vansh and Mansi were partners
sharing profits in the ratio of 4 : 3 : 2. Sarthak retires, assuming Vansh
and Mansi will share profits in the ratio of
2 : 1. Determine the gaining ratio.
Answer:
Old
Ratio (Sarthak, Vansh and Mansi) = 4 : 3 : 2
New
Ratio (Vansh and Mansi) = 2 : 1
Gaining
Ratio=New Ratio − Old Ratio
Vansh’s gain=2/3-3/9=6-3/9=3/9
Mansi’s gain=1/3-2/9=3-2/9=1/9
∴Gaining Ratio = 3: 1
Ts Grewal Solution 2023-2024
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Class 12 / Volume – I