‘M’, ‘N’, and ‘O’ entered into a business with initial investments of Rs. ‘4x + 550’, Rs. ‘5x + 450’, and Rs. ‘3x + 350’ respectively. After 1 year, ‘M’ invested Rs. 300 more, ‘N’ added Rs. 250 more, and ‘O’ invested Rs. 150 more. If the total profit earned at the end of 2 years is Rs. 19200, find the profit share of ‘N’.
ATQ, Ratio of profit share of ‘M’, ‘N’, and ‘O’, respectively = [(4x + 550) × 2 + 300]:[(5x + 450) × 2 + 250]:[(3x + 350) × 2 + 150] = (4x + 550 + 150):(5x + 450 + 125):(3x + 350 + 75) = (4x + 700):(5x + 575):(3x + 425) Desired profit = (5x + 575)/(12x + 1700) × 19200 = 5/12 × 19200 = Rs. 8000
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