**Shortcut 11:**

[mathjax]

*[latex]P_1: [/latex][latex] P_2:[/latex][latex]P_3[/latex]=[latex]T_1I_1: [/latex][latex] T_2I_2:[/latex][latex] T_3I_3[/latex]*

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

[latex] [/latex]