Question
βJβ, βKβ, and βLβ started a business with
initial investments of Rs. β5x + 700β, Rs. β6x + 600β, and Rs. β3x + 400β respectively. After 1 year, βJβ invested Rs. 250 more, βKβ added Rs. 300 more, and βLβ invested Rs. 200 more. If the total profit earned at the end of 2 years is Rs. 16800, find the profit share of βKβ.Solution
ATQ, Ratio of profit share of βJβ, βKβ, and βLβ, respectively = [(5x + 700) Γ 2 + 250]:[(6x + 600) Γ 2 + 300]:[(3x + 400) Γ 2 + 200] = (5x + 700 + 125):(6x + 600 + 150):(3x + 400 + 100) = (5x + 825):(6x + 750):(3x + 500) Desired profit = (6x + 750)/(14x + 2075) Γ 16800 = 6/14 Γ 16800 = Rs. 7200
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