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The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

Correct answer: C. 9% decrease

  • A. 90% increase
  • B. 45% increase
  • C. 9% decrease
  • D. Same as before

Explanation

Take the original salary as 100%. After a 30% increase it becomes 130%, and reducing this new salary by 30% gives 130% x 70% = 91%. The final salary is therefore 9% lower than the original. The likely trap is choosing “same as before” by incorrectly cancelling the equal 30% increase and decrease, although the second percentage applies to a different base.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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