Question:
Atul, Beena, and Sita were partners in a firm sharing profits and losses in the ratio of 8 : 7 : 5. Damini was admitted as a new partner for $\frac{1{5}$ share in the profits, which she acquired entirely from Atul. The new profit-sharing ratio after Damini’s admission will be:}
Atul, Beena, and Sita were partners in a firm sharing profits and losses in the ratio of 8 : 7 : 5. Damini was admitted as a new partner for $\frac{1{5}$ share in the profits, which she acquired entirely from Atul. The new profit-sharing ratio after Damini’s admission will be:}
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When a new partner is admitted, their share is deducted from the contributing partner(s), and the new ratio is calculated accordingly.
Updated On: Jan 20, 2025
- 7 : 7 : 5 : 1
- 4 : 7 : 5 : 4
- 8 : 7 : 5 : 4
- 7 : 5 : 5 : 4
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The Correct Option is A
Solution and Explanation
Total share of Atul before Damini’s admission: $8 + 7 + 5 = 20$ parts.
Damini acquires $\frac{1}{5}$ share from Atul. Atul's new share: $8 - \frac{1}{5} \times 20 = 8 - 4 = 7$ parts.
Beena’s and Sita’s shares remain unchanged at $7$ and $5$ parts, respectively.
Damini’s share is $4$ parts (from Atul).
New profit-sharing ratio = $7 : 7 : 5 : 1$.
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