Question
‘D’, ‘E’, and ‘F’ started a business with
initial investments of Rs. ‘3x + 720’, Rs. ‘4x + 500’, and Rs. ‘2x + 300’ respectively. After 1 year, ‘D’ invested Rs. 180 more, ‘E’ added Rs. 420 more, and ‘F’ invested Rs. 250 more. If the total profit earned at the end of 2 years is Rs. 18000, find the profit share of ‘E’.Solution
ATQ, Ratio of profit share of ‘D’, ‘E’, and ‘F’, respectively = [(3x + 720) × 2 + 180]:[(4x + 500) × 2 + 420]:[(2x + 300) × 2 + 250] = (3x + 720 + 90):(4x + 500 + 210):(2x + 300 + 125) = (3x + 810):(4x + 710):(2x + 425) Desired profit = (4x + 710)/(9x + 1945) × 18000 = 4/9 × 18000 = Rs.8000
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