#### 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:

*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 3:

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 4:

*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 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 2022-2023*

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**Class 12 / Volume – I**

**Chapter 1 – Retirement of a Parnter**

**Chapter 1 – Retirement of a Parnter**

#### Question No. 1 To 5

Question No. 6 To 10

Question No. 11 To 15

Question No. 16 To 20

Question No. 21 To 25

Question No. 26 To 30

Question No. 31 To 35

Question No. 36 To 40

Question No. 41 To 45

Question No. 46 To 50

Question No. 51 To 55

#### Question No. 56 To 59

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**12th TS Grewal’s Accountancy Solutions**