Lata, Richa and Madhuri are partners sharing profits in the ratio of 5:3:2. Richa retires. Lata and Madhuri decide to share the profits of the new firm in the ratio of 3:2. Calculate the gaining ratio of Lata and Madhuri.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1 : 2
When the new ratio of the continuing partners is given, each partner’s gain = his new share − his old share, and the gaining ratio is the ratio of these gains.
Old shares: Lata = 5/10, Richa = 3/10, Madhuri = 2/10
New shares (3 : 2): Lata = 3/5 = 6/10, Madhuri = 2/5 = 4/10
Lata gains 6/10 − 5/10 = 1/10
Madhuri gains 4/10 − 2/10 = 2/10
Gaining ratio of Lata and Madhuri = 1 : 2
Option (2) 1 : 2 is not the same as Option (3) 2 : 1; the order follows the names in the question, Lata first.
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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