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Profit or loss percent at one selling price known: selling price for another percent, or percent at another price

This type of question, asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    8
    An article is sold at a certain price. If it is sold at 3313%33\frac{1}{3}\% of this price, there is a loss of 3313%33\frac{1}{3}\%. What is the percentage profit if the article is sold at 80% of its original selling price?

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  2. Question 2

    29 Jan 2022 Tier II

    51
    If an article is sold for ₹355, there is a loss of 29%. At what price (in ₹) should it be sold to gain 31% of profit?

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  3. Question 3

    3 Feb 2022 Tier II

    58
    By selling an article for ₹2,200, a profit of 10% is earned. If the same article is sold for ₹2,600, then what will be the gain percentage?

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