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    Question

    A sold an article at 62% profit. If the profit earned

    had been 260% more, then the profit percentage would have been numerically equal to CP. Find the actual cost price of the article.
    A Rs. 220.2 Correct Answer Incorrect Answer
    B Rs. 223.2 Correct Answer Incorrect Answer
    C Rs. 255.2 Correct Answer Incorrect Answer
    D Rs. 213.2 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of the article be Rs. 100x Therefore, selling price of article = Rs. 162x Therefore, profit earned = 162x – 100x = Rs. 62x New profit = 3.6 × 62x = Rs. 223.2x According to the question, (223.2x/100x) × 100 = 100x Or, x = 2.235 Therefore, actual cost price = 100x = Rs. 223.2

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