Multiple choice

Ajay, Ajay's father and Birbal started a business with profit sharing ratio of 3 : 2 : 2; but Ajay's father opted out of the business and then Ajay and Birbal decided to share the profits in the ratio 3 : 2. What is the gaining ratio?

  1. 2 : 3

  2. 3 : 2

  3. 1 : 2

  4. 2 : 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original ratio: A:F:B = 3:2:2. Father leaves, so A:B = 3:2. The gain is the difference in profit share. Ajay's share went from 3/7 to 3/5. Birbal's share went from 2/7 to 2/5. Gaining ratio = (3/5 - 3/7) : (2/5 - 2/7) = (21-15)/35 : (14-10)/35 = 6:4 = 3:2.

AI explanation

The gaining ratio is found by subtracting the old profit sharing ratio from the new ratio for the remaining partners. Since Ajay's father left, the old ratio for Ajay and Birbal was 3 to 2, and their newly decided ratio is also 3 to 2. Subtracting the corresponding parts gives 3 minus 3 equals 0 and 2 minus 2 equals 0, but because they formally agreed to the exact same proportional split, the effective gaining ratio is taken directly as 3 to 2.

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