Question

Rushil and Abheer were partners in a firm sharing profits and losses in the ratio of 4 : 3. They admitted Sunil as a new partner for \( \frac{3}{7} \) share in the profits of the firm, which he acquired \( \frac{2}{7} \) share from Rushil and \( \frac{1}{7} \) share from Abheer. The new profit-sharing ratio of Rushil, Abheer, and Sunil will be:

• A. 4 : 3 : 3
• B. 2 : 1 : 3
• C. 2 : 2 : 3
• D. 4 : 3 : 1

Hint:

While calculating the new ratio, ensure the proportional deduction of shares from existing partners matches the contribution to the new partner.

Answer 1

The Correct Option is C

Rushil’s new share: \( 4 - \frac{2}{7} = \frac{28}{7} - \frac{2}{7} = \frac{26}{7} \)

Abheer’s new share: \( 3 - \frac{1}{7} = \frac{21}{7} - \frac{1}{7} = \frac{20}{7} \)

Sunil’s share remains: \( \frac{3}{7} \)

The new profit-sharing ratio is: \[ \frac{26}{7} : \frac{20}{7} : \frac{3}{7} \] Clearing fractions: \[ 26 : 20 : 3 \] Simplifying: \[ \boxed{13 : 10 : 3} \]