Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the ratio of 3 : 2 : 1 : 4. Kumar retires and his share is acquired by Lakshya and Manoj in the ratio of 3 : 2. The gaining ratio of the remaining partners is ......?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3 : 2 : 0
The gaining ratio is the ratio in which the continuing partners take over the retiring partner’s share. Here the question states it directly: Kumar’s share is acquired by Lakshya and Manoj in the ratio of 3 : 2.
Kumar’s share = 3/10
Lakshya gains 3/5 of 3/10 = 9/50
Manoj gains 2/5 of 3/10 = 6/50
Naresh gains nothing = 0
Gaining ratio (Lakshya : Manoj : Naresh) = 9 : 6 : 0 = 3 : 2 : 0
Naresh keeps his old share of 4/10, so he neither gains nor sacrifices; the gaining ratio is not the old ratio of the remaining partners (2 : 1 : 4).
NCERT (2026-27 edition):
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