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Two known varieties and a third mixed in a given ratio at a known mean price: price of the third

The same question, asked 4 times: 21 Jul 2023 S2*, 25 Jul 2023 S3*, 13 Sep 2024 S2*, 13 Sep 2025 S3. Every wording below, oldest first.

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  1. Question 1

    21 Jul 2023 S2

    54
    Rice worth ₹126 per kg and ₹135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth ₹153 per kg, then the price of the third variety per kg (in ₹) is:

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  2. Question 2

    25 Jul 2023 S3

    66
    Rice worth ₹35 per kilogram and ₹38 per kilogram are mixed with a third variety in the ratio 2 : 1 : 2. If the mixture is worth ₹42 per kilogram, the price of the third variety per kilogram is:

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  3. Question 3

    13 Sep 2024 S2

    75
    2 varieties of tea powders worth ₹250/kg and ₹300/kg are mixed with a third variety of tea powder in the ratio 1 : 1 : 2. If the mixture is worth ₹350/kg, find the price of the third variety tea powder.

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  4. Question 4

    13 Sep 2025 S3

    68
    Two types of sugar, one costing ₹45/kg and another costing ₹60/kg, are mixed with a third variety in the ratio 1:2:3. If the mixture is worth ₹55/kg, what is the price of the third variety of sugar per kg?

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