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Two selling prices, the gain at one is a multiple of the loss at the other: cost price or profit percent

This type of question, asked 3 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II, 20 Jan 2025 Tier II. All 3 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    14
    On selling an article for ₹123.40, the gain is 20% more than the amount of loss incurred on selling it for ₹108. If the article is sold for ₹120.75, then what is the gain/loss per cent?

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  2. Question 2

    3 Feb 2022 Tier II

    93
    A lady sold an article for ₹960 at some profit. Had she sold it for ₹800, then there would have been a loss equal to 13\frac{1}{3} of the initial profit. What was the profit percentage of the article?

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  3. Question 3

    20 Jan 2025 Tier II

    14
    A man sells a mobile phone for ₹680 and loses something. If he had sold it for ₹1070, his gain would have been double the former loss. The cost price (in ₹) of the mobile phone is:

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