Question
A started a business with an investment of Rs.2400.
After some months, B joins the business with an investment of Rs.7200 and after two more months C joins the business with Rs.5600. 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 ‘x’ months. => 2400 x 12 : (12 - x) x 7200 : 5600 x (12 – x – 2) => 2400 x 12 : (12 - x) x 7200 : 5600 x (10 – x) => 2400 x 12 = (12 - x) x 7200 => 12 – x = 4 => x = 8 C invested his money = 10 – x = 2 months
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