Question

Aditya, Vishesh, and Nimesh were partners in a firm sharing profits and losses equally. Aditya died on 1\textsuperscript{st July, 2023. The remaining partners decided to continue the business of the firm and decided to share future profits in the ratio of 4:3. The gaining ratio of Vishesh and Nimesh will be:}

• A. 4:3
• B. 3:2
• C. 5:2
• D. 1:1

Hint:

The gaining ratio is calculated by subtracting the old ratio from the new ratio of the remaining partners.

Answer 1

The Correct Option is C

Step 1: Old profit-sharing ratio:
Before Aditya’s death, the profit-sharing ratio was equal, i.e., \(1:1:1\). The old share of each partner was: \[ \text{Vishesh’s old share} = \frac{1}{3}, \quad \text{Nimesh’s old share} = \frac{1}{3}. \] Step 2: New profit-sharing ratio:
After Aditya’s death, the new profit-sharing ratio between Vishesh and Nimesh was decided as \(4:3\). The new shares are: \[ \text{Vishesh’s new share} = \frac{4}{7}, \quad \text{Nimesh’s new share} = \frac{3}{7}. \] Step 3: Calculate the gain:
The gain for each partner is calculated as: \[ \text{Vishesh’s Gain} = \frac{4}{7} - \frac{1}{3} = \frac{12}{21} - \frac{7}{21} = \frac{5}{21}, \] \[ \text{Nimesh’s Gain} = \frac{3}{7} - \frac{1}{3} = \frac{9}{21} - \frac{7}{21} = \frac{2}{21}. \] Step 4: Gaining ratio:
The gaining ratio between Vishesh and Nimesh is: \[ 5:2. \] Conclusion:
The gaining ratio of Vishesh and Nimesh is \(5:2\).