Rana, Sana and Kamana are partners, sharing profits in the ratio 4:3:2. Rana retires; Sana and Kamana decided to share profits in the future in the ratio of 5:3. The Gaining Ratio of Sana and Kamana will be
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 21:11
When the continuing partners’ new ratio is given, each one’s gain is his new share minus his old share; the gaining ratio is the ratio of these gains.
Sana’s gain = 5/8 − 3/9 = 45/72 − 24/72 = 21/72
Kamana’s gain = 3/8 − 2/9 = 27/72 − 16/72 = 11/72
Gaining ratio = 21:11
Option (2) 11:21 — the same two numbers in reverse order; the first figure belongs to Sana.
NCERT (2026-27 edition):
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