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    Question

    A number is initially reduced by

    35%, and then the resulting value is increased by 35%. Determine the overall percentage change in the number.
    A 12.25% increase Correct Answer Incorrect Answer
    B 12.25% decrease Correct Answer Incorrect Answer
    C 10.25% decrease Correct Answer Incorrect Answer
    D 23.25% increase Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be '100n' Final number = 0.65 × 1.35 × 100n = '87.75n' Therefore, required %= [(100n - 87.75n) ÷ 100n] × 100 = 12.25% decrease

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