Read the following passage and answer the question.

X, Y, Z were partners sharing profits and losses in the ratio of 1:2:3. Z retired and his capital after making all adjustments is ₹2,20,000. X & Y agreed to pay him ₹2,50,000 in full settlement of his claim. The new profit-sharing ratio is 1:3.

What is the gaining ratio?

1:5

The correct answer is option 1- 1:5.

Gain of partner = New share - Old share
Gain of X  = 1/4 - 1/6
                = (3-2)/12
                = 1/12
Gain of Y  = 3/4 - 2/6
                = (9-4)/12
                = 5/12

GAINING RATIO = 1/12 : 5/12
                         = 1:5