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Discount d% still gives profit p%: ratio of cost price to marked price

The same question, asked 2 times: 19 Jul 2023 S2*, 10 Sep 2024 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    19 Jul 2023 S2

    65
    A shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?

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  2. Question 2

    10 Sep 2024 S3

    73
    A shopkeeper allows a discount of 20%20\% on the marked price of an item and thus gains 10%10\%. What is the ratio of the cost price to the marked price of the item?

    Tap an option to check your answer.