Answer:
10:2:3
Step-by-step explanation:
Let x represent the share to Pramod, y represent the share to Vinod and z represent the share to Rohan.
Since Rohan takes 1/5 th of the share, let us assume that the total profit for share after Rohan is admitted is 1.
Therefore, Pramod and Vinod share after Rohan is admitted = 1 - 1/5 = 4/5 = combined share of Pramod and Vinod.
New profit sharing ration = old ratio * combined share
Pramod share = (5/6) * (4/5) = 20/30
Vinod share = (1/6) * (4/5) = 4/30
Rohan share = 1 - (20/30) - (4/30) = 6/30
Hence the new sharing ratio = 20/30 : 4/30 : 6/30 = 10 : 2 : 3