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Marked a% above cost, profit p% made: rate of discount

The same question, asked 3 times: 14 Jul 2023 S1*, 16 Sep 2025 S1*, 19 Sep 2025 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S1

    52
    The marked price of mustard oil is 25% more than its cost price. At what percentage less than the marked price should it be sold to have no profit and no loss?

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  2. Question 2

    16 Sep 2025 S1

    62
    A manufacturer marked a product 30% above its cost price. He provided a discount to a customer, which resulted in him making a profit of 17%. What was the rate of discount given by the manufacturer?

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  3. Question 3

    19 Sep 2025 S2

    56
    Having initially established the marked price of a particular commodity at a 20%20\% premium over its cost price, a retail vendor subsequently extended an unspecified discount. If, following this concession, the transaction ultimately yielded a profit of 8%8\% on the cost price, what was the exact percentage of the discount given?

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