\(\frac{1}{2}\) of A's capital = \(\frac{1}{3}\) of B's capital = \(\frac{3}{5}\) of C's capital. If they invest for two years, then find the profit of A after two years out of the total profit of 4500.

1350

\(\frac{1}{2}\)A  = \(\frac{1}{3}\)B = \(\frac{3}{5}\)C  

3A = 2B , 5B = 9C 

A   :    B               B    :    C

2   :     3              9     :    5

On solving → A  :   B  :   C

                     6  :   9  :   5

Note → If the period of all the investors is the same then there is no effect of time on profit

                    A    :      B     :     C

                   6     :       9     :     5     = 20R

20R = 4500

A's profit → 6 → \(\frac{4500}{20}\) × 6 = 1350