Question

    A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that costs 60 per kg?

    A 1:2 Correct Answer Incorrect Answer
    B 2:1 Correct Answer Incorrect Answer
    C 1:1 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the ratio in which Type A and Type B should be mixed be x:y. Using the rule of allegation: The cost difference between Type B and the mixture is 70 - 60 = 10. The cost difference between the mixture and Type A is 60 - 50 = 10. Therefore, the ratio x:y is 10:10, which simplifies to 1:1. So, the two types should be mixed in the ratio 1:1.

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