Rani, Sandhya and Kangana are partners sharing profits in the ratio of 4:3:2 Rani retires. Sandhya and Kangana decided to share profits in the future in the ratio of 5:3. Gaining ratio of Sandhya and Kangana will be:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 21:11
Gaining share = new share − old share. The old shares come from 4:3:2 (total 9) and the new shares from 5:3 (total 8); the common denominator is 72.
Sandhya: old share 3/9 = 24/72; new share 5/8 = 45/72; gain = 45/72 − 24/72 = 21/72
Kangana: old share 2/9 = 16/72; new share 3/8 = 27/72; gain = 27/72 − 16/72 = 11/72
Gaining ratio = 21/72 : 11/72 = 21:11
Check: 21/72 + 11/72 = 32/72 = 4/9, which is Rani’s whole share. Option (1) 11:21 has the same figures the wrong way round.
NCERT (2026-27 edition): NCERT (2026-27 edition):
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