#### 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*

**Click below for more Questions**

**Class 12 / Volume – I**

**Chapter 5 – Retirement of a Partner**

**Chapter 5 – Retirement of a Partner**