Question

A, B and C are partners sharing profits in the ratio of 5 : 2 : 1. If the new ratio on the retirement of A is 3 : 2, what will be the gaining ratio?

विकल्प

• 11 : 14

• 3 : 2

• 2 : 3

• 14 : 11

Answer 1

14 : 11

Explanation:

Old ratio = A : B : C = 5 : 2 : 1 → B’s old share = 2/8, C’s = 1/8

New ratio after A retires = B : C = 3:2 → Total = 5 parts

So, B’s new share = `3/5, "C’s" = 2/5`

Gaining Ratio = New Share – Old Share

B’s gain = `3/5 – 2/8 = 24/40 – 10/40 = 14/40`

C’s gain = `2/5 – 1/8 = 16/40 – 5/40 = 11/40`

Hence, gaining ratio = 14 : 11