P and Q are partners sharing profit in 2:1 ratio. They admitted R into partnership giving him 1/5th share which he acquired from P and Q in a 2:1 ratio. New Profit Sharing Ratio will be:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 8:4:3
R’s share of 1/5 comes from P and Q in the ratio 2:1, which is their old ratio; each old partner’s new share = old share − share given up.
P gives up 1/5 × 2/3 = 2/15; Q gives up 1/5 × 1/3 = 1/15
P’s new share = 2/3 − 2/15 = 10/15 − 2/15 = 8/15
Q’s new share = 1/3 − 1/15 = 5/15 − 1/15 = 4/15
R’s share = 1/5 = 3/15
New ratio = 8:4:3
NCERT (2026-27 edition):
NCERT (2026-27 edition):
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