Let the profit earned before commission was given to P be Rs. ‘100x’ Commission of P = 100x × 0.20x = Rs. 20x Ratio of profit shares of P to Q = 10000:15000 = 2:3 Profit earned by P = (100x – 20x) × (2/5) = Rs. 32x Profit earned by Q = (100x – 20x) × (3/5) = Rs. 48x According to the question 20x + 32x – 48x = 500 Or, 4x = 500 So, x = 125 So, required profit = 125 × 100 = Rs. 12,500
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