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    Question

    A shopkeeper mixes two types of rice, costing $30 per kg

    and $50 per kg, in the ratio 3:2. He sells the mixture at $45 per kg. What is his percentage profit or loss?
    A 18.42% profit Correct Answer Incorrect Answer
    B 8.45% loss Correct Answer Incorrect Answer
    C 16.45% profit Correct Answer Incorrect Answer
    D 12.4% profit Correct Answer Incorrect Answer
    E 14.68% profit Correct Answer Incorrect Answer

    Solution

    Cost price of mixture per kg = (3 × 30 + 2 × 50) / (3 + 2)  Cost price per kg = (90 + 100) / 5 = $38  Selling price = $45 per kg  Profit = 45 - 38 = $7  Profit percentage = (7 / 38) × 100 ≈ 18.42%.

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