math

A started a business with rs 20000 after 3 months B joined him with rs 40000 after some more months c joined them with rs 100000 B received rs 18000 out of the total annual profit of rs 55000 how many months after A started the business did c join 

How to do easy way please help

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  1. If C was in the business for x months, then the weighted investment is

    (20000*12 + 40000*9 + 100000x) * x/12 = 55000

    x ≈ 1, so C joined after about 11 months

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