Question 1:
Tushar, 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 ifGarv
retires.
Answer:
Old
Ratio (Tushar, Radhaand Garv) =1/2 :2/5 : 1/10 or 5 : 4 : 1
As
we can see, no information is given as to how Tushar andRadha are
acquiring Garv's profit share after his retirement,
so the new profit sharing ratio between Tushar andRadha is
calculated just by crossing out the Garv’s share.
That is, the new ratio becomes 5 : 4.
∴ New Profit Ratio (Tushar andRadha) = 5 : 4
Question 2:
From
the following particulars, calculate new profit-sharing ratio of the partners:
(a) Paras, 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 Paras
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 (Paras, Mohan and Hari)
= 5 : 5 : 4
Mohan’s
Profit Share = 5/14
His
share is divided between Paras and Hari equally i.e. in the ratio of 1: 1
Share of mohan taken by Paras=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
Paras’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 (Paras 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’sshare 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 2025-2026
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Class 12 / Volume – I