R, S and K are partners sharing profits in the ratio 8:6:4. On the retirement of R, the new profit sharing ratio between S and K was decided to be 5:3. The Gaining ratio is -
R, S and K are partners sharing profits in the ratio 8:6:4. On the retirement of R, the new profit sharing ratio between S and K was decided to be 5:3. The Gaining ratio is -
Solution
✅ Correct Option: 2
Old Ratio = R:S:K = 8:6:4
This means:
- R's share =
- S's share =
- K's share =
After R's retirement, New Ratio = S:K = 5:3
This means:
- S's new share =
- K's new share =
Gaining Ratio = New Share - Old Share
For S:
Gain =
Converting to common denominator (LCM of 8 and 18 = 72):
Gain =
For K:
Gain =
Gain =
Gaining Ratio = S's gain : K's gain = = 21:11
The gaining ratio represents how R's share is distributed between the continuing partners S and K. When R retires with share, S gains (which is ) and K gains , in the ratio 21:11.