Partnership

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Rohit and Mohit are partners in a firm sharing profits in the ratio of 5:3. They admit Bijoy as a new partner for 1/7th share in the profits. The new profit sharing ratio will be 4:2:1. The sacrificing ratio of Rohit and Mohit is-

2:5

3:5

4:5

5:3

✅ Correct Option: 2

Old Ratio of Rohit and Mohit = 5:3

Converting to fractions:

Rohit's old share = $\frac{5}{8}$
Mohit's old share = $\frac{3}{8}$

New Ratio given = 4:2:1 (Rohit:Mohit:Bijoy)

Converting to fractions (Total = 4+2+1 = 7):

Rohit's new share = $\frac{4}{7}$
Mohit's new share = $\frac{2}{7}$

Sacrificing Ratio = Old Share - New Share (for each partner)

Rohit's Sacrifice:

$= \frac{5}{8} - \frac{4}{7}$

Taking LCM of 8 and 7 = 56

$= \frac{35}{56} - \frac{32}{56} = \frac{3}{56}$

Mohit's Sacrifice:

$= \frac{3}{8} - \frac{2}{7}$

$= \frac{21}{56} - \frac{16}{56} = \frac{5}{56}$

Sacrificing Ratio = Rohit's Sacrifice : Mohit's Sacrifice

$= \frac{3}{56} : \frac{5}{56}$

$= 3:5$

The correct answer is Option 2: 3:5

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2026: 31 May Shift 1

The books of a business showed that the firm's capital employed on December 31, 2025 was Rs. 7,00,000 and the profits for the last five years were: 2021-Rs. 80,000; 2022-Rs. 85,000; 2023-Rs. 75,000; 2024- Rs. 80,000; 2025-Rs. 75,000. What will be the value of goodwill based on 3 years' purchase of the super profits of the business, given that the normal rate of return is 10%?

2026: 31 May Shift 1

Ajay, Bijoy and Payal are partners in a firm sharing profits in the ratio of 3:2:1. Sunil is admitted into the firm for 1/4 share in profits, which he gets as 1/8 from Ajay and 1/8 from Bijoy. The total capital of the firm is agreed upon as Rs. 1,20,000 and Sunil is to bring in cash equivalent to 1/4 of this amount as his capital. The new profit sharing ratio of Ajay, Bijoy, Payal and Sunil will be:

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2026: 12 May Shift 1

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

Rohit and Mohit are partners in a firm sharing profits in the ratio of 5:3. They admit Bijoy as a new partner for 1/7th share in the profits. The new profit sharing ratio will be 4:2:1. The sacrificing ratio of Rohit and Mohit is-

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