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Marked price, discount percent and profit percent given: find the cost price

The same question, asked 5 times: 18 Jul 2023 S3*, 9 Sep 2024 S1*, 19 Sep 2024 S2*, 13 Sep 2025 S3*, 18 Sep 2025 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    18 Jul 2023 S3

    63
    The marked price of a ceiling fan is ₹4,200 and the shopkeeper allows a discount of 5% on it. If his profit is 14%, then the cost price of the fan is:

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  2. Question 2

    9 Sep 2024 S1

    63
    An article is marked at ₹550550. If it is sold at a discount of 40%40\%, then the selling price becomes 10%10\% more than its cost price. What is the cost price (in ₹)?

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  3. Question 3

    19 Sep 2024 S2

    57
    An article marked for ₹275 is sold at 5% discount. The seller still gains 4.5%. What did he pay for it?

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  4. Question 4

    13 Sep 2025 S3

    66
    An article is marked at ₹800. A shop owner allows a discount of 12%12\% and still gains 8%8\%. What is the approximate cost price of the article?

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  5. Question 5

    18 Sep 2025 S1

    55
    A shopkeeper marked a watch at ₹800. He sold it after allowing a 15%15\% discount. If his profit on the sale was 20%20\%, what was the cost price of the watch?

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