Abhiram and Ragini are partners sharing profits in the ratio of 3:2. They admit Arun a new partner for 1/5th share in the future profits of the firm which he gets equally from Abhiram and Ragini. Calculate the new profit sharing ratio of Abhiram, Ragini and Arun.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5:3:2
When the new partner takes his share equally from the old partners, each old partner gives up half of it. Each old partner’s new share is old share − share given up.
Arun’s share = 1/5 = 2/10, taken 1/10 from each
Abhiram’s new share = 3/5 − 1/10 = 6/10 − 1/10 = 5/10
Ragini’s new share = 2/5 − 1/10 = 4/10 − 1/10 = 3/10
New ratio of Abhiram, Ragini and Arun = 5/10 : 3/10 : 2/10 = 5:3:2
NCERT (2026-27 edition):
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