Question

    The ratio of the cost price to the marked price of an article is 1:2 and the ratio of the profit percentage to the discount percentage is 2:1. 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 50% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    CP:MP = x:2x Profit = MP – CP = 2x – x = x Profit% : Discount% = 2:1 Let CP = 100 and SP = (x + x = 2x) = 200 According to question, => (2x/100) × 100 + (x/100) × 200 => 2x + 2x = 4x => 4x ----100 => x = 25% Profit % = 2 × 25% = 50%

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