X and Y are partners in a firm sharing profits in the ratio of 3:2. They admitted Z as a new partner for 1/4 share. The new profit sharing ratio between X and Y will be 2:1. Calculate their sacrificing ratio.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2:3
A partner's sacrifice = old share − new share. The sacrificing ratio compares what each old partner gives up for the new partner. Here the new ratio is given only between X and Y, so first find their new shares out of what is left after Z's share.
Z's share = 1/4
Remaining share = 1 − 1/4 = 3/4
X's new share = 2/3 of 3/4 = 2/4
Y's new share = 1/3 of 3/4 = 1/4
X's sacrifice = 3/5 − 2/4 = 12/20 − 10/20 = 2/20
Y's sacrifice = 2/5 − 1/4 = 8/20 − 5/20 = 3/20
Sacrificing ratio of X and Y = 2/20 : 3/20 = 2:3
Note: This question is from NCERT (2026-27). NTA sets numerical questions from NCERT too, so do not ignore NCERT while practising numericals.
NCERT (2026-27 edition):
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