Aman, Bhanu, Chhiresh are partners in a business. Aman, whose capital was invested for 6 months claims (\frac{1}{3}) parts of the total profit. Bhanu, whose capital was invested for 8 months claims (\frac{1}{5}) part of the total profit. Chhiresh invested Rs 52500 for 11 months, then Aman invested how much amount?
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Rs 55000
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Rs 60000
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Rs 62500
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Rs 68750
D
Correct answer
Explanation
In partnership, profit share ratio = (Capital × Time). Aman's share = 1/3 for 6 months, Bhanu's share = 1/5 for 8 months. Chhiresh invested Rs 52500 for 11 months. Let Aman's investment be x. Profit ratios: Aman : Bhanu : Chhiresh = 6x : 8y : 11×52500. Given 6x/(6x + 8y + 577500) = 1/3 and 8y/(6x + 8y + 577500) = 1/5. Solving these equations with 11×52500 = 577500 for Chhiresh, we get x = 68750. Option D is correct.