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Mixture sold with x% profit: find cost price, then the mixing ratio or quantity

This type of question, asked 7 times: 24 Sep 2024 S1, 12 Sep 2025 S1, 12 Sep 2025 S3, 14 Sep 2025 S1, 15 Sep 2025 S2, 16 Sep 2025 S2, 21 Sep 2025 S3. All 7 questions below, oldest first.

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  1. Question 1

    24 Sep 2024 S1

    68
    In what ratio, sugar costing ₹78 per kg be mixed with sugar costing ₹46 per kg such that by selling the mixture at ₹75 per kg there is a gain of 20%20\%?

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  2. Question 2

    12 Sep 2025 S1

    67
    Two oils priced at ₹90 per kg and ₹150 per kg are blended and sold at ₹144 per kg, achieving a profit margin of 20%20\%. What is the ratio of the two oils in the mixture?

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  3. Question 3

    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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  4. Question 4

    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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  5. Question 5

    15 Sep 2025 S2

    61
    A shopkeeper has two types of pulses: one costing ₹60/kg and the other costing ₹90/kg. He mixes them in a specific ratio and sells the mixture at ₹84/kg, thereby earning a 20%20\% profit. In what ratio did he mix the two types of pulses?

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  6. Question 6

    16 Sep 2025 S2

    62
    Two distinct grades of rice, one priced at ₹80 per kilogram and the other at ₹120 per kilogram, are amalgamated in an undisclosed proportion. The resultant blend is retailed at ₹132 per kilogram, securing a profit margin of 20%20\% on the overall cost price. Determine the precise ratio in which the two rice varieties were intermingled.

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  7. Question 7

    21 Sep 2025 S3

    67
    A seller mixes two varieties of rice costing Rs. 40/kg and Rs. 60/kg in a certain ratio and sells the mixture at Rs. 55/kg, gaining 10%. What is the ratio in which the two types are mixed?

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