P, Q and R have been sharing profits in the ratio of 8 : 5 : 3. P retires. Q takes 3/16th share from P and R takes 5/16th share from P. What will be the new profit sharing ratio?

1:1

The correct answer is option 1- 1:1.

Old ratio = 8:5:3 (P, Q and R)
Gain of Q = 3/16
Gain of R = 5/16

New share = Old share + Gained share

New Share of Q = 5/16 + 3/16
                         = 8/16

New Share of R = 3/16 + 5/16
                         = 8/16
NPR = 8/16 : 8/16
       = 1:1