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'.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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