#### 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

#### 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)

#### 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

#### 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

#### Question 10:

Murli, Naveen and Omprakash are
partners sharing profits in the ratio of 3/8, 1/2 and 1/8. Murli
retires and surrenders 2/3rd of his share in favour
of Naveen and remaining share in favour of Omprakash. Calculate new profit-sharing ratio and gaining
ratio of the remaining partners.

#### Answer:

Old Ratio=3:4:1

Murli's share=3/8

Share acquired by Naveen=3/8×2/3=2/8

Remaining Share=3/8−2/8=1/8 (acquired by Omprakash)

Gaining Ratio=28:18=2:1

Naveen's New Share=4/8+2/8=6/8

Omprakash's New Share=1/8+1/8=2/8

New Profit Sharing 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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