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    Question

    The marked price of an article is

    Rs. 'x' more than its selling price. If the selling price of the article had been Rs. (x - 30) more than the actual selling price, the profit earned on the article would have been 50%. If the cost price of the article is Rs. 100, find the marked price of the article.
    A 180 Correct Answer Incorrect Answer
    B 145 Correct Answer Incorrect Answer
    C 150 Correct Answer Incorrect Answer
    D 200 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: Marked Price (MP) is x more than Selling Price (SP): MP = (SP + x). If SP was increased by x − 30, profit = 50% of Cost Price (CP = 100): SP + (x − 30) = 150.

    Solve: From SP + x − 30 = 150: SP + x = 180. Since MP = SP + x, MP = 180. 

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