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Mixture sold at a price with x% gain: quantity of the second variety

The same question, asked 2 times: 12 Sep 2025 S3*, 14 Sep 2025 S1. Every wording below, oldest first.

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  1. Question 1

    12 Sep 2025 S3

    68
    How many approximate kgs of sugar costing ₹45 per kg must be mixed with 25 kg of sugar costing ₹32 per kg so that a 15%15\% gain may be obtained by selling the mixture at ₹43.70 per kg?

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  2. Question 2

    14 Sep 2025 S1

    66
    A grocer mixes 40 kg of lentils costing ₹65 per kg with a certain quantity of lentils costing ₹80 per kg. If he sells the mixture at ₹75 per kg, making a 10%10\% profit, what quantity of the second type of lentils did he mix?

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