A, B and C are three partners in a business. B started the business and A joined him after 2 months with an investment which is 20% more than that of B. C joined them later. The investment of B is \(\frac{3}{4}\) of the investment of C. If in the annual profit, share in profit of C is \(\frac{1}{3}\)of the sum of shares of A and B, then for how long was C's investment in the business?