A, B and C start a business by investing the capital in the ratio 5 : 6 : 8. At the end of the business they receive the profit in the ratio of 5 : 3 : 12. Find the ratio of time for which they contribute their capital.

02 : 01 : 03

                         A       :       B       :       C       

Investment :     5       :       6       :       8

Profit           :     5       :       3       :       12

Time            :     1       :       \(\frac{3}{6}\)       :       \(\frac{12}{8}\)

                          2       :        1        :       3

(Note: Time ratio = \(\frac{Profit\;ratio}{Investment\;ratio}\) )