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    Question

    'Pawan' and 'Qureshi' invested 9,000 and 12,000 rupees, respectively, to establish their businesses. 6 months later, 'Pawan' invests 'b' more money, and 'Raju' joins them with Rs.15,000. If 'Pawan's' profit share is (1/3)rd of the total profit received at the end of the year, find the value of '5b'.

    A 2,500 Correct Answer Incorrect Answer
    B 6,500 Correct Answer Incorrect Answer
    C 7,500 Correct Answer Incorrect Answer
    D 8,200 Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit share of 'Pawan', 'Qureshi' and 'Raju' respectively at the end of the year = {9,000 × 6 + (9,000 + b) × 6}:{12,000 × 12}:{15,000 × 6} = (18,000 + b) :24,000:15,000 So, (18,000 + b)/[(18,000 + b) + 24,000 + 15,000] = (1/3) Or, 3 × (18,000 + b) = 18,000 + b + 24,000 + 15,000 Or, 54,000 + 3b = 57,000 + b Or, 2b = 3,000 So, 'b' = 1,500 Therefore, required value = 5b = 5 × 1,500 = 7,500

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