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    Question

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

    article is 3:5 and the ratio of the profit percentage to the discount percentage is 5:2. Find the profit percentage.
    A 40% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 20% Correct Answer Incorrect Answer
    D 50% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    CP:MP = 3x:5x Profit = MP – CP = 5x – 3x = 2x Profit% : Discount% = 5:2 Let CP = 300 and SP = (3x + 2x = 5x) = 500 According to question, => (5x/100) × 300 + (2x/100) × 500 => 15x + 10x = 25x => 25x ----100 => x = 4% Profit % = 5 × 4% = 20%

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