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    Question

    The ratio of the cost price to the marked price of an

    article is 2:3 and the ratio of the profit percentage to the discount percentage is 3:1. Find the profit percentage.
    A 16.66% Correct Answer Incorrect Answer
    B 12.5% Correct Answer Incorrect Answer
    C 33.33% Correct Answer Incorrect Answer
    D 10.76% Correct Answer Incorrect Answer

    Solution

    CP:MP = 2x:3x Profit = MP – CP = 3x – 2x = x Profit% : Discount% = 3:1 Let CP = 200 and SP = (2x + x = 3x) = 300 According to question, => (3x/100) × 200 + (x/100) × 300 => 6x + 3x = 9x => 9x ----100 => x = 11.11% Profit % = 3 × 11.11% = 33.33%

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