#### Question 1:

*Om, Ram and Shanti *were partners sharing profits
in the ratio of 1/2, 2/5 and 1/10. Find the new ratio of the remaining partners
if* C* dies.

#### Answer:

Old Ratio (*Om, Ram and Shanti*) =1/2 :2/5 : 1/10 or 5 : 4 : 1

As we can see, no information is
given as to how A and B are acquiring C's profit share after his death, so
the new profit sharing ratio between *Om, *and *Ram* is calculated just by crossing out the *Shanti*’s share. That is, the new ratio becomes 5 : 4.

∴ New Profit Ratio (*Om and Ram*) = 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 died and his share was taken equally between Shiv and Hari.

(b) *P, Q* and *R* were partners sharing profits in the ratio of
5 : 4 : 1.* P* died from.

#### 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 death, 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:

*A,
B* and *C*
were partners sharing profits in the ratio of 4 : 3 : 2. *A* died, *B *and *C*
will share profits in the ratio of 2 : 1. Determine the gaining ratio.

#### Answer:

Old Ratio (A, B and C) = 4 : 3 : 2

New Ratio (B and C) = 2 : 1

Gaining Ratio=New Ratio − Old Ratio

B’s
gain=2/3-3/9=6-3/9=3/9

C’s
gain=1/3-2/9=3-2/9=1/9

∴Gaining Ratio = 3: 1

#### Question 4:

(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* died 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* died. *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 5:

*Keshv,
Nirmal, *and *Pankaj* are
partners sharing profits in the ratio of 5: 3: 2. *Pankaj* died and
his share is taken by *Keshv*. Calculate new profit-sharing ratio
of *Keshv *and* Nirmal*.

#### Answer:

Old
Ratio (*Keshv, Nirmal, *and *Pankaj*) = 5: 3: 2

*Pankaj* died from the firm.

His profit share = 210

*Pankaj’s* *share is taken by Keshv in entirety*

New Ratio = Old Ratio + Share acquired from *Pankaj*

*Keshv* 's New Share: 5/10+2/10=7/10

*Nirmal*
's New Share: 3/10+0=310

∴ New
Profit Ratio (*Keshv and Nirmal*) = 7: 3

*Ts Grewal Solution 2023-2024*

**Click below for more Questions**

**Class 12 / Volume – I**

**Chapter 6 – Death of a Partner**

**Chapter 6 – Death of a Partner**