sections

# Shortcut of Partnership

Shortcut 11:

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$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?
P1 : P2 : P3 = 5000 x 3 : 6000 x 2 : 9000 x 1
P1 : P2 : P3 = 15000 : 12000 x 9000
P1 : P2 : P3 = 5 : 4 : 3