Question
A started a business with an investment of Rs.1500.
After some months, B joins the business with an investment of Rs.3600 and after two more months C joins the business with Rs.2500. If the annual profit share of A and B is equal, then find for how many months C invested his money?Solution
Let B joined after βxβ months. => 1500 x 12 : (12 - x) x 3600 : 2500 x (12 β x β 2) => 1500 x 12 : (12 - x) x 3600 : 2500 x (10 β x) => 1500 x 12 = (12 - x) x 3600 => 12 β x = 5 => x = 7 C invested his money = 10 β x = 3 months
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