Selling price or profit at one discount known: find it at another discount

This type of question, asked 2 times: 29 Jan 2022 Tier II, 8 Aug 2022 Tier II. All 2 questions below, oldest first.

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Question 1
29 Jan 2022 Tier II
67 $An article was sold for ₹716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in ₹) should it be sold?$
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Question 2
8 Aug 2022 Tier II
59 $When an article is sold at 5 percent discount, then there is a profit of 14 percent. If the discount is 11 percent, then what will be the profit?$
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