Shortcut of Partnership

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Shortcut 11:

[mathjax]

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?
Answer:
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

 

 

 

 

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