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    Question

    A merchant mixes two varieties of rice, one costing

    ₹55 per kg and the other costing ₹80 per kg, and sells the mixture at ₹75 per kg, making a profit of 25%. In what ratio did he mix the two varieties of rice?
    A 2:3 Correct Answer Incorrect Answer
    B 3:2 Correct Answer Incorrect Answer
    C 4:3 Correct Answer Incorrect Answer
    D 4:1 Correct Answer Incorrect Answer

    Solution

    Let the cost price of the mixture be ₹x per kg. Given, Selling price = ₹75, Profit = 25%. Therefore, 75 = x + 25% of x, solving gives x = 60. Using the rule of alligation: (80 - 60) : (60 - 55) = 20:5 = 4:1. Correct answer: d) 4:1

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