L, P and G are three partners sharing profits in the ratio 15 : 9 : 8. G retires. L and P decided to share profits in equal ratio. Gaining ratio will be :

1:7

The correct answer is option 4- 1:7.

Old ratio = 15:9:8 (L, P and G)
G retires
New ratio = 1 :1 ( L & P)

Gained share = New share - Old share

Gain of L = 1/2 - 15/32
               = (16-15)/32
               = 1/32

Gain of P = 1/2-9/32
               = (16-9)/32
               = 7/32

Gaining ratio = 1/32 : 7/32
                     = 1:7