The ratio of the profits of P and Q is 5 : 8. What is their investment ratio, if their investment time period ratio is 3 : 5?

25 : 24 

Investment x Time Period = Profit  

                     Investment = \(\frac{Profit}{Time\; Period}\)

                          P  :  Q

Profit                  5  :  8       

Time Period        3  :   5

________________________   

 Investment        \(\frac{5}{3}\)  :  \(\frac{8}{5}\)

                        25  : 24