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Markup percent, discount percent and profit percent: given two find the third (or cost or marked price)

This type of question, asked 4 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 26 Oct 2023 Tier II. All 5 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    88
    An article is marked 35% above its cost. If a profit of 20% is earned by selling the article, then the discount per cent offered on the marked price of the article is:

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  2. Question 2

    15 Nov 2020 Tier II

    42
    The marked price of an article is 40% above its cost price. If its selling price is 7312%73\frac{1}{2}\% of the marked price, then the profit percentage is:

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  3. Question 3

    29 Jan 2022 Tier II

    30
    A person marks an article 36% above the cost price and offers 30% discount on the marked price. What is the loss or gain percentage?

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  4. Question 4

    3 Feb 2022 Tier II

    21
    A shopkeeper marks an article at such a price that after giving a discount of 1212%12\frac{1}{2}\% on the marked price, he still earns a profit of 15%. If the cost price of the article is ₹385, then the sum of the marked price and the selling price (in ₹) of the article is:

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  5. Question 5

    26 Oct 2023 Tier II

    3
    A merchant fixes the sale price of his goods at 42% above the cost price. He sells his goods at a 15% discount marked price. His percentage of profit (rounded off to the nearest integer) is:

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