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Price of an unknown variety from the mixture's mean price

This type of question, asked 10 times: 17 Jul 2023 S3, 21 Jul 2023 S2, 25 Jul 2023 S3, 27 Jul 2023 S1, 13 Sep 2024 S2, 19 Sep 2024 S1, 24 Sep 2024 S2, 13 Sep 2025 S2, 13 Sep 2025 S3, 15 Sep 2025 S3. All 10 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S3

    58
    One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3:2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?

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  2. Question 2

    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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  3. Question 3

    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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  4. Question 4

    27 Jul 2023 S1

    73
    Rini has mixed two colours ‘C1\text{C}_1’ and ‘C2\text{C}_2’ in the ratio 2 : 3. If the rate of the colour ‘C1\text{C}_1’ is ₹500 per unit and she is selling the mixture of the two colours at ₹650 per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ‘C2\text{C}_2’?

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  5. Question 5

    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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  6. Question 6

    19 Sep 2024 S1

    52
    15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.

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  7. Question 7

    24 Sep 2024 S2

    51
    A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality of wheat to get a mixture at a price of ₹35/kg. The price of good quality wheat per kg (in ₹) is:

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  8. Question 8

    13 Sep 2025 S2

    67
    Three varieties of rice costing ₹40/kg, ₹50/kg, and a third unknown price are mixed in the ratio 2:3:52 : 3 : 5. If the resulting mixture is sold at ₹55/kg, making a profit of 10%10\% on the cost price, what is the price of the third variety of rice per kg?

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  9. Question 9

    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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  10. Question 10

    15 Sep 2025 S3

    65
    A shopkeeper mixes two qualities of tea. The first quality costs ₹150 per kg and is mixed with the second quality in the ratio 4:54 : 5. If the mixture is sold at ₹130 per kg (at no profit, no loss), what is the cost per kg of the second quality of tea?

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