Rani, Sandhya and Kangana are partners sharing profits in the ratio of 4:3:2 Rani retires. Sandhya and Kangana decided to share profits in the future in the ratio of 5:3. Gaining ratio of Sandhya and Kangana will be:

21:11

Gaining ratio = New share - old share
Gain of Sandhya = 5/8 - 3/9
                           = (45-24) / 72
                           = 21/72
Gain of Kangana = 3/8 - 2/9
                           = (27-16) / 72
                           = 11/72
Gaining ratio = 21/72 : 11/72
                     = 21:11