#### Question 1:

*Om* and *Shyam*
are sharing profits and losses equally. With effect from 1st April, 2023, they
agree to share profits in the ratio of 4 : 3.
Calculate individual partner's gain or sacrifice due to the change in ratio.

#### Answer:

Old Ratio (Om and Shyam) = 1 : 1

New Ratio (Om and Shyam) = 4 : 3

Sacrificing (or Gaining) Ratio = Old Ratio − New Ratio

Om’s share = ½ - 4/7 = 7-8/14= -1/14 (Gain)

Shyam’s share = ½ - 3/7 = 7-6/14= 1/14 (sacrifice)

∴ Om’s Gain = 1/14

Shyam’s Sacrifice = 1/14

#### Question 2:

*Ashok*, *Bhim*
and *Chetan* are sharing profits and losses in
the ratio of 5 : 3 : 2. With effect from 1st April,
2023, they decide to share profits and losses in the ratio of 5 : 2 : 3. Calculate each partner's gain or sacrifice due to
the change in ratio.

#### Answer:

Old Ratio (*Ashok*, *Bhim*
and *Chetan*) = 5 :
3 : 2

New Ratio (*Ashok*, *Bhim*
and *Chetan*) = 5 :
2 : 3

Sacrificing (or Gaining) Ratio = Old Ratio − New Ratio

*Ashok*’s share
=5/10 – 5/10 = nil

*Bhim*’s share
=3/10 – 2/10 = 1/10 (sacrifice)

*Chetan*’s share
=2/10 – 3/10 = -1/10 (Gain)

∴
*Chetan*’s Gain = 1/10

*Bhim*’s
Sacrifice = 1/10

#### Question 3:

*X*, *Y* and *Z*
are sharing profits and losses in the ratio of 5 : 3 :
2. With effect from 1st April, 2023, they decide to share profits and losses
equally. Calculate each partner's gain or sacrifice due to the change in ratio.

#### Answer:

Old Ratio (X, Y and Z) = 5 : 3 : 2

New Ratio (X, Y and Z) = 1 : 1 : 1

**Sacrificing (or Gaining) Ratio = Old
Ratio − New Ratio**

X’s share =5/10 – 1/3 = 15-10/30= 5/30

Y’s share =3/10 – 1/3 = 9-10/30= -1/30

Z’s share =2/10 – 1/3 = 6-10/30= -4/30

**∴ Y’s Gain = 1/30**

**Z’s Gain = 4/30**

**X’s Sacrifice = 5/30**

#### Question 4:

*A*, *B* and *C*
are partners sharing profits and losses in the ratio of 5 :
4 : 1. Calculate new profit-sharing ratio, sacrificing ratio and gaining ratio
in each of the following cases:

**Case 1.** *C* acquires 1/5th share from *A*.

**Case 2.** *C* acquires 1/5th share equally form *A*
and *B*.

**Case 3.** *A*, *B* and *C* will share
future profits and losses equally.

**Case 4.** *C* acquires 1/10th
share of *A* and 1/2 share of *B*.

#### Answer:

Calculation of New Profit Sharing Ratio

**Case 1:**

A:B:C=5:4:1(Old Ratio)

C acquires 15th from A

A's sacrifice = 1/5

C's gain = 1/5

A=5/10−1/5= 5−2/10=3/10

B=4/10

C=1/10+1/5=1+2/10 =3/10

A:B:C=3:4:3

**Case 2:**

A:B:C=5:4:1(Old Ratio)

C acquires 1/5th share equally from A and
B=1/5×1/2=1/10

A's sacrifice = 110
B's sacrifice = 1/10

C's gain = 1/5

A=5/10−1/10
=5−1/10=4/10

B=4/10−1/10=4−1/10=3/10

C=1/10+1/5=1+2/10=3/10

A:B:C=4:3:3

**Case 3:**

A:B:C=5:4:1(Old Ratio)

A:B:C=1:1:1(New Ratio)

A=5/10−1/3=15−10/30=5/30(Sacrifice)

B=4/10−1/3=12−10/30=2/30(Sacrifice)

C=1/10−1/3=3−10/30=−7/30(Gain)

**Case 4:**

A:B:C=5:4:1(Old Ratio)

A's sacrifice to C=5/10×1/10=1/20

B's sacrifice to C=4/10×1/2=4/20

C's gain=1/20+4/20=5/20

A=5/10−1/20
=10−1/20=9/20

B=4/10−4/20=8−4/20=4/20

C=1/10+5/20=2+5/20=7/20

A:B:C=9:4:7

#### Question 5:

.
Pranav, Karan and Rahim are
partners sharing profits and losses in agreed ratio. With effect from

1st
April, 2023, they agreed to share profit in the ratio of 3:3:4. To arrive at
the new ratio, Rahim takes 1/5th share equally from Pranav and Karan. Calculate the old profit-sharing ratio.

**Answer:**

Rahim takes 1/5th share equally as
follow

=1/5×1/2

=1/10

Pranav= 3/10+1/10

=3+1/10

=4/10

Karan=
3/10+1/10

=3+1/10

=4/10

Rahim= 4/10-1/5

=4+2/10

=2/10

Old
profit-sharing ratio of Pranav, Karan and Rahim 2:2:1

*Ts Grewal Solution 2023-2024*

**Click below for more Questions**

**Class 12 / Volume – I**

**Chapter 3 – ****Change in Profit-Sharing Ratio Among the Existing Partner**

**Chapter 3 –**