Profit at one selling price related to the loss at another: cost price, then a price or percent at a third

This type of question, asked 3 times: 18 Jul 2023 S2, 27 Jul 2023 S1, 12 Sep 2025 S3. All 3 questions below, oldest first.

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Question 1
18 Jul 2023 S2
56 $The percentage profit earned by selling an article for ₹2,000 is the same as the percentage loss incurred by selling the same article for ₹1,200. At what price should that article be sold to make a profit of 20%?$
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Question 2
27 Jul 2023 S1
75 $On selling a painting at Rs.1,498, the gain is 25% more than the loss incurred on selling it at Rs.1,300. In order to gain 25%, the selling price will be:$
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Question 3
12 Sep 2025 S3
64 $The profit made on an item sold for ₹2200 is equal to the loss incurred when it is sold for ₹1800. What will be the profit or loss percentage if the item is sold for ₹2050?$
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Question 1