Read the following passage and answer the question.
Ravi, Kavi and Sunny are partners in a firm sharing profits and losses in the ratio 4 : 2 : 3. On 1st April 2022, Sunny gives notice for his retirement. His share was taken by Ravi and Kavi in 13 : 11 and goodwill of the firm was valued at ₹ 72,000.
After three months, they admit Hari as a new partner for 1/5th share in firm who brings ₹ 2,00,000 as capital and necessary amount for goodwill in cash which was valued at ₹ 80,000 for the firm. Hari acquired his share equally from Ravi and Kavi.
Identify the new profit sharing ratio between Ravi and Kavi after Sunny's retirement.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 5 : 3
On retirement, new share = old share + share acquired from the retiring partner. Old ratio 4 : 2 : 3 (total 9); Sunny's 3/9 is taken by Ravi and Kavi in 13 : 11.
Ravi acquires = 3/9 × 13/24 = 13/72
Kavi acquires = 3/9 × 11/24 = 11/72
Ravi's new share = 4/9 + 13/72 = 32/72 + 13/72 = 45/72
Kavi's new share = 2/9 + 11/72 = 16/72 + 11/72 = 27/72
New ratio = 45 : 27 = 5 : 3
NCERT (2026-27 edition):
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