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Increase then decrease by the same r%: original value or r

This type of question, asked 3 times: 20 Jul 2023 S3, 23 Sep 2025 S3, 24 Sep 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    20 Jul 2023 S3

    59
    The price of an article is increased by r%. The new price was decreased by r% later. Now the latest price is Rs.1.What was the original price of the article?

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  2. Question 2

    23 Sep 2025 S3

    62
    The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?

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  3. Question 3

    24 Sep 2025 S2

    57
    The price of a product is decreased by x%x\% and then increased by x%x\%. The final price becomes 10%10\% less than the original. What is the value of x (approximately)?

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