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    Question

    Cost price of an article is Rs. (6p + 240). It is marked

    50% above its cost price and sold after allowing a discount of 'k%'. If the profit earned is (k - 20) %, then which of the following can be calculated using the provided information? I. Selling price of the article. II. Discount percentage offered. III. Profit earned (in Rs) on selling the article.
    A Only II Correct Answer Incorrect Answer
    B All I, II and III Correct Answer Incorrect Answer
    C Both I and III Correct Answer Incorrect Answer
    D None of these options Correct Answer Incorrect Answer
    E Both II and III Correct Answer Incorrect Answer

    Solution

    Marked price of article = 1.5 × (6p + 240)

    Selling price of article = 1.5 × (6p + 240) × [(100 - k) ÷ 100]

    Also, selling price of article = [(100 + k - 20) ÷ 100] × (6p + 240)

    So,
    1.5 × (100 - k) = k + 80

    150 - 1.5k = k + 80

    2.5k = 70

    k = 28

    Value of 'p' cannot be determined.

    So, Cost price, selling price, marked price and profit earned on article cannot be determined.

    Discount percentage = 28%

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