Partnership

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Medium

common

A and B are partners in a firm sharing profits in the ratio of 3:2. They admitted M as a new partner for 1/4 share. The new profit sharing ratio between A and B will be 2:1. Calculate their sacrificing ratio.

2:3

3:2

1:2

2:1

✅ Correct Option: 1

Given Information:

Old ratio of A and B = 3:2
M is admitted for 1/4 share
New ratio between A and B = 2:1

Finding Old Shares:

A's old share = $\frac{3}{5}$

B's old share = $\frac{2}{5}$

Finding New Shares:

M's share = $\frac{1}{4}$

Remaining share for A and B = $1 - \frac{1}{4} = \frac{3}{4}$

This $\frac{3}{4}$ is divided between A and B in the ratio 2:1

A's new share = $\frac{3}{4} \times \frac{2}{3} = \frac{1}{2}$

B's new share = $\frac{3}{4} \times \frac{1}{3} = \frac{1}{4}$

Calculating Sacrifice:

Sacrifice = Old Share - New Share

A's sacrifice = $\frac{3}{5} - \frac{1}{2} = \frac{6-5}{10} = \frac{1}{10}$

B's sacrifice = $\frac{2}{5} - \frac{1}{4} = \frac{8-5}{20} = \frac{3}{20}$

Sacrificing Ratio:

A's sacrifice : B's sacrifice = $\frac{1}{10} : \frac{3}{20}$

Converting to same denominator: $\frac{2}{20} : \frac{3}{20}$

Sacrificing Ratio = 2:3

The correct answer is Option 1: 2:3

2026: 21 May Shift 2

Charvi and Varun are partners in a firm sharing profits in the ratio of 4:1. They admitted Bhumika as a new partner for 1/4 share in the profits, which is acquired wholly from Charvi. Determine the new profit sharing ratio of the partners.

2026: 13 May Shift 1

Aryan and Bala are partners in a firm. The admitted Charu as a partner with 20% share in profits of the firm. Charu brings Rs. 2,00,000 as her share of capital. Calculate the value of Charu's share of goodwill on the basis of her capital, given that the combined capital of Aryan and Bala after all adjustments is Rs. 5,00,000.

2026: 21 May Shift 1

At the time of reconstitution of a partnership firm, investment worth Rs. 1,500 (not mentioned in the balance sheet) is to be taken into account. The journal entry for this would be:

2025: 13 May Shift 2

Goodwill is -

2025: 4 June Shift 2

A and B are partners sharing profits in the ratio of 2:1. C is admitted into the firm for 1/4 share of profits. C brings in Rs. 20,000 in respect of his capital. The capitals of old partners A and B, after all adjustments relating to goodwill, revaluation of assets and liabilities, etc., are Rs. 45,000 and Rs. 15,000 respectively, It is agreed that partners' capitals should be according to the new profit sharing ratio. A's Capital in the new firm will be:

2025: 16 May Shift 1

At the time of Reconstitution, Goodwill already appearing in books of accounts is distributed among partners in_______.

A and B are partners in a firm sharing profits in the ratio of 3:2. They admitted M as a new partner for 1/4 share. The new profit sharing ratio between A and B will be 2:1. Calculate their sacrificing ratio.

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