Question

Kishore and Bimal are partners in a firm sharing profits and losses in the ratio of 4:3. Nand is admitted as a new partner in the firm for $\frac{1{4}$ share in the profits. Kishore and Bimal decide to share profits and losses equally in the future. The sacrificing ratio of Kishore and Bimal will be:}

• A. 1:1
• B. 4:3
• C. 11:3
• D. 3:11

Hint:

The sacrificing ratio is calculated by comparing the old profit-sharing ratio with the new ratio after admission of a partner.

Answer 1

The Correct Option is C

Kishore and Bimal initially shared profits and losses in a 4:3 ratio. Upon Nand's admission for a \( \frac{1}{4} \) share, a new profit-sharing ratio is required.

Nand will receive \( \frac{1}{4} \) of the profits, leaving \( \frac{3}{4} \) for Kishore and Bimal.

Kishore and Bimal have agreed to share this remaining \( \frac{3}{4} \) equally, resulting in \( \frac{3}{8} \) profit share for each.

The sacrificing ratio is determined by calculating the difference between each partner's old and new profit shares.

Kishore: Old share = \( \frac{4}{7} \), New share = \( \frac{3}{8} \)

Bimal: Old share = \( \frac{3}{7} \), New share = \( \frac{3}{8} \)

The loss in share is calculated as follows:

Kishore's sacrifice = \( \frac{4}{7} - \frac{3}{8} = \frac{32}{56} - \frac{21}{56} = \frac{11}{56} \)

Bimal's sacrifice = \( \frac{3}{7} - \frac{3}{8} = \frac{24}{56} - \frac{21}{56} = \frac{3}{56} \)

The sacrificing ratio is therefore \( \frac{11}{56}:\frac{3}{56} \).

This simplifies to a ratio of 11:3.

The final sacrificing ratio between Kishore and Bimal is: 11:3.