12th | Death of a Partner | Question No. 1 To 5 | Ts Grewal Solution 2025-2026

Deepak, Ram and Saurav were partners sharing profits in the ratio of 1/2, 2/5 and 1/10. Find the new ratio of the remaining partners if Saurav dies.

Answer:

Old Ratio (Deepak, Ram and Saurav) =1/2 :2/5 : 1/10 or 5 : 4 : 1

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

∴ New Profit Ratio (Deepak and Ram) = 5 : 4

 

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’snew 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

 

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 KeshvandNirmal.

 

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

 

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

 

(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