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A number decreased by 30% of itself equals 84. The number is:

  • A.110
  • B.112
  • C.126
  • D.120

Answer: D

Decreasing by 30% leaves 70% of the number, so \(0.7x = 84\) and \(x = 120\). Check: 30% of 120 is 36, and \(120 - 36 = 84\). Adding 30% back to 84 gives 109.2, not 120, which is why the reverse percentage cannot simply be added on.

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