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Free articles scheme (buy n get m free, sell 8 at the price of 6) as an effective discount

This type of question, asked 2 times: 3 Feb 2022 Tier II, 20 Jan 2025 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    3 Feb 2022 Tier II

    60
    A dealer offers a cash discount of 20% and still makes a profit of 20%. If he further sells 8 articles at a rate of 6 articles, then how much percentage above the cost price does he mark on each article?

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  2. Question 2

    20 Jan 2025 Tier II

    3
    Murlidhar, the owner of a grocery store, offers a discount scheme 'buy 5 water bottles get 1 for free' to his customers. What is the effective percentage discount offered by Murlidhar? (correct up to two decimal places)

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