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
Arun takes 1/5 equally from the two old partners, so each of them gives up half of 1/5, that is, 1/10.
Arun’s share = 1/5 = 2/10
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 profit sharing ratio of Abhiram, Ragini and Arun = 5:3:2
In the book the partners are Akshay, Bharati and Dinesh; the figures are the same.
NCERT (2026-27 edition):
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