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Successive discounts with the marked and selling price (or equivalent discount) given: the missing discount

This type of question, asked 7 times: 20 Jul 2023 S1, 21 Jul 2023 S1, 18 Sep 2024 S2, 24 Sep 2024 S2, 16 Sep 2025 S1, 17 Sep 2025 S2, 18 Sep 2025 S3. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    20 Jul 2023 S1

    55
    The marked price of a frock is ₹4,500. It is to be sold at ₹2,400 at two successive discounts. If the first discount is 20%20\%, then the second discount will be:

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  2. Question 2

    21 Jul 2023 S1

    74
    If successive discounts of 5%, 10% and p% are equivalent to a single discount of 31.6%, then the value of p is:

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  3. Question 3

    18 Sep 2024 S2

    53
    After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%12.5\%, what is the value of the second discount?

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  4. Question 4

    24 Sep 2024 S2

    71
    An article is sold for₹747 after successive discounts of 17% and x%. If the marked price of the article is₹1,600, what is the value of x?

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  5. Question 5

    16 Sep 2025 S1

    61
    A television set has a marked price of ₹ 20,000. It is sold after two successive discounts. If the first discount is 15% and the final selling price is ₹ 15,300, what is the percentage of the second discount?

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  6. Question 6

    17 Sep 2025 S2

    59
    An oven has a marked price of ₹ 12,000. It is sold with two successive discounts. If the second discount is 20% and the final selling price is ₹ 8,400, what is the percentage of the first discount?

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  7. Question 7

    18 Sep 2025 S3

    55
    A pair of shoes is listed at ₹ 800. After two successive discounts, it is sold for ₹ 612. If the first discount offered was 10%10\%, what was the second discount percentage?

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