In what ratio should the profit be divided if M, N, O invests capital in ratio 2:3:5 and their timing of their investments are in the ratio 4:5:6.

Let the three ratio be P1, P2 and P3.

M, N, O invests in ratio 2:3:5

and their timing of investments are in the ratio 4:5:6

so we have to multiply invest ratio with their timings.

So, 

P1:P2:P3=(2*4):(3*5):(5*6)

P1:P2:P3=8:15:30