Shortcut 11:

$$P_1:$$$$P_2:$$$$P_3$$=$$T_1I_1:$$$$T_2I_2:$$$$T_3I_3$$

P1 : P2 : P3 = Ratio between profits
T1, T2, T3 = Respective time of investment
I1, I2, I3 = Respective investment
Question:
A started a business investing Rs. 5000. After 1 year B joined him investing Rs. 6000. After another year C joined them investing Rs. 9000. What is the ratio between their profit shares at the end of 3 years?