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Q.Hema, Jaya and Rama are partners in a partnership firm shares profit-loss equally. Hema and Jaya decided to share profit-loss in the ratio of 4:3 after taking retirement of Jaya. What will be the gain of Hema?

(a) 1/3
(b) 5/21
(c) 4/7
(d) 3/4
(a) 1/3
(b) 5/21
(c) 4/7
(d) 3/4
Uttarakhand UbseUttarakhand Board Intermediate (Commerce) 2026MCQ· 1mImportance★★★★★
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Hema's gain on Jaya's retirement = 5/21.

Hema, Jaya and Rama originally shared profit and loss equally, i.e. each had a share of 1/3. The question states that after Jaya's retirement the firm continues between Hema and Rama in the new ratio 4:3 (the stem's wording names "Jaya" a second time, but since Jaya is the partner retiring, the two CONTINUING partners can only be Hema and Rama — this is read as the intended meaning).

Gain (or loss) on reconstitution = New Share − Old Share.

Hema's old share = 1/3

Hema's new share = 4/7 (her part of the new 4:3 ratio)

Gain of Hema = New Share − Old Share

= 4/7 − 1/3

= (4×3 − 1×7) / 21

= (12 − 7) / 21

= 5/21

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