Question
Anuj and Bheem began a business by investing Rs. Z and
Rs. (Z + 2,500), respectively. After operating together for 16 months, Anuj withdrew from the business. At the end of 28 months, the total profit earned was Rs. 2,322, out of which Anuj's share was Rs. 516. Determine the value of Z.Solution
Ratio of profit shares of Anuj and Bheem, respectively, at the end of 28 months, = {Z X 16}:{(Z + 2,500) X 28} = (4Z) :(7Z + 17,500) ATQ, 4Z/(4Z + 7Z + 17500) = 516/2322 Or, 4Z ÷ (11Z + 17,500) = (2/9) Or, 36Z = 2 X (11Z + 17,500) Or, 36Z = 22Z + 35,000 Or, 14Z = 35,000 So, 'Z' = 2,500
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