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Let the initial investments of Ram, Rahim and Raman be Rs. 4x, Rs. 7x and Rs. 10x, respectively. So, the ratio of their investments = 4x + 4x + 4000: 7x + 7x + 4500: 10x + 10x + 5000 = 8x + 4000: 14x + 4500: 20x + 5000 According to question: (8x + 4000)/(42x + 13500) = 1180/5310 (4x + 2000)/(21x + 6750) = 2/9 36x + 18000 = 42x + 13500 6x = 4500 x = 750 So, the initial investment of Rahim = 7 × 750 = Rs. 5,250
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