\(\frac{1}{4}\) of A's capital = \(\frac{1}{3}\) of B's capital = \(\frac{2}{5}\) of C's capital. If they invest for four years, then find the profit of A after 4 years out of the total profit of 9500 .

4000

\(\frac{1}{4}\)A  = \(\frac{1}{3}\)B = \(\frac{2}{5}\)C  

3A = 4B , 5B = 6C 

A   :    B               B    :    C

4   :     3              6    :     5

On solving →    A  :   B  :   C

                     8    :   6   :   5

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

                    A    :      B     :     C

                   8     :      6     :     5     = 19R

19R = 9500

A's profit → 8 → \(\frac{9500}{19}\) × 8 = 4000