# 12th | Ts grewal 2021-2022 Question 1 to 4 | Death of a partner

#### Question 1:

A, B and C 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.

Old Ratio (A, B and C) =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 A and B is calculated just by crossing out the C’s share. That is, the new ratio becomes 5 : 4.

New Profit Ratio (A and B) = 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.

(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:

R, S and M are partners sharing profits in the ratio of 2/5, 2/5 and 1/5. M died and his share is taken by R and S in the ratio of 1 : 2. Calculate the new profit-sharing ratio.

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 4:

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.

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

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