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A and B are partners in a business A contributes 1/4 of the capital for 15 months and B receives 2.3 of the profit . Find for how long B's money was used.

A and B are partners in a business A contributes 1/4 of the capital for 15 months and B receives 2.3 of the profit . Find for how long B's money was used. Correct Answer 10 months

Let the total profit be Tk. z. Then, B's share = Tk.. 2z/3, A's share = Tk. ( z - 2z/3 ) = Tk. z/3. A : B = z/3 : 2z/3 = 1:2 Let the total capital be Tk. X and suppose B's money was used for x months. Then. (1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 < = > y = (15 * 2 / 3) = 10 . Thus, B's money was used for 10 months.

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