Rohit and Mohit share the profit in the ratio of 5 : 4 and Sohit entered in this firm as a new partner with profit sharing ratio of \(\frac{1}{5}\). If Sohit has taken his share of profit from Rohit and Mohit in equal ratio, then the new profit sharing ratio will be:

41 : 31 : 18

              R    :    M

Profit:    5    :    4      ⇒ 9

Profit:  25    :   20     ⇒ 45              [multiply by 5]

So from total profit (i.e 45), Sohit will take \(\frac{1}{5}\)th of 45 = 9 and ATQ, that will be taken from other two in equal ratio.

Therefore,

                    R       :    M      :   S

Old Profit:    25     :   20     :    --    ⇒ 45

New Profit:  20.5  :  15.5   :    9    ⇒ 45

New Profit:   41    :    31    :   18