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How many kg of rice at one price to mix with a given quantity at another, to gain a given percent selling at a given price

The same question, asked 2 times: 15 Nov 2020 Tier II*, 7 Mar 2023 Tier II. Every wording below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    89
    How many kg of rice costing ₹42 per kg should be mixed with 7127\frac{1}{2} kg rice costing ₹50 per kg so that by selling the mixture at ₹53.10 per kg, there is a gain of 18%?

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  2. Question 2

    7 Mar 2023 Tier II

    22
    How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?

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