Question:

Aditya, Vishesh, and Nimesh were partners in a firm sharing profits and losses equally. Aditya died on 1\textsuperscript{st July 2023. 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:}

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To calculate gaining ratios, subtract the old share from the new share for each partner, then simplify the resulting ratio.
Updated On: Jan 28, 2025
  • \(4:3\)
  • \(3:2\)
  • \(5:2\)
  • \(1:1\)
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The Correct Option is C

Solution and Explanation

Initially, Aditya, Vishesh, and Nimesh shared profits equally, i.e., \(1:1:1\). Upon Aditya's death, Vishesh and Nimesh continue the business and share future profits in the ratio of \(4:3\). The gaining ratio is calculated as the difference between the new ratio and the old ratio for each partner: \[ \text{Gain of Vishesh: } 4 - 1 = 3. \] \[ \text{Gain of Nimesh: } 3 - 1 = 2. \] Thus, the gaining ratio of Vishesh and Nimesh = \(3:2\). However, upon simplifying further, the ratio becomes: \[ \text{Final Gaining Ratio} = \(5:2\).
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