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Q.P, Q and R are partners sharing profits in the ratio of 5:4:1. P retires from the firm. After the retirement of P the gaining ratio of Q and R will be:

(a) 1:4
(b) 1:1
(c) 4:1
(d) 4:4
(a) 1:4
(b) 1:1
(c) 4:1
(d) 4:4
Uttarakhand UbseUttarakhand Board Intermediate (Commerce) 2024MCQ· 1mImportance★★★★★
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Gaining ratio of Q and R = 4:1, the same as their old ratio between each other.

Gaining ratio is the ratio in which the continuing partners acquire (gain) the retiring/outgoing partner's share of profit. The general rule: when the question does not specify a different arrangement for taking over the retiring partner's share, the continuing partners' new shares (and hence the gaining ratio) work out to be their old ratio among themselves.

P, Q and R shared profits in the ratio 5:4:1 (out of 10). When P retires, his 5/10 share is absorbed entirely by Q and R. Since nothing else is stated, Q and R take over P's share in the ratio of their own old shares to each other, i.e. 4:1.

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