Arjun and Vaibhav are partners sharing profits in the ratio of 3 : 2. They admitted Rahul as a new partner for 1/5 share in the future profits of the firm. The new partner acquired his share from the old partners in the old ratio. Calculate the new profit sharing ratio of Arjun, Vaibhav and Rahul.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 12 : 8 : 5
Rahul takes his 1/5 from Arjun and Vaibhav in their old ratio of 3 : 2, so the remaining 4/5 is shared by the old partners in that same ratio.
Rahul’s share = 1/5 = 5/25
Remaining share = 1 − 1/5 = 4/5
Arjun’s new share = 3/5 of 4/5 = 12/25
Vaibhav’s new share = 2/5 of 4/5 = 8/25
New ratio of Arjun, Vaibhav and Rahul = 12 : 8 : 5
The same answer comes by subtracting each sacrifice from the old share: Arjun 3/5 − 3/25 = 12/25 and Vaibhav 2/5 − 2/25 = 8/25.
NCERT (2026-27 edition):
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