Question
‘J’, ‘K’, and ‘L’ started a business with
initial investments of Rs. ‘5x + 700’, Rs. ‘6x + 600’, and Rs. ‘3x + 400’ respectively. After 1 year, ‘J’ invested Rs. 250 more, ‘K’ added Rs. 300 more, and ‘L’ invested Rs. 200 more. If the total profit earned at the end of 2 years is Rs. 16800, find the profit share of ‘K’.Solution
ATQ, Ratio of profit share of ‘J’, ‘K’, and ‘L’, respectively = [(5x + 700) × 2 + 250]:[(6x + 600) × 2 + 300]:[(3x + 400) × 2 + 200] = (5x + 700 + 125):(6x + 600 + 150):(3x + 400 + 100) = (5x + 825):(6x + 750):(3x + 500) Desired profit = (6x + 750)/(14x + 2075) × 16800 = 6/14 × 16800 = Rs. 7200
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