P, Q and R are partners sharing profit in the ratio 5 : 3 : 2. On 1st April, 2022, they admit S as a new partner for 1/5 share which he acquires from P and Q equally. R has decided to retain his original share. Calculate the new profit sharing ratio.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2 : 1 : 1 : 1
S takes 1/5 = 2/10, half from P and half from Q; R keeps his old share.
P = 5/10 − 1/10 = 4/10
Q = 3/10 − 1/10 = 2/10
R = 2/10 (unchanged)
S = 2/10
New profit sharing ratio = 4 : 2 : 2 : 2 = 2 : 1 : 1 : 1
NCERT (2026-27 edition):
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