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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 Γ— 1.35 Γ— 100n = '87.75n' Therefore, required %= [(100n - 87.75n) Γ· 100n] Γ— 100 = 12.25% decrease

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