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If the length of a rectangle is increased by 20% and it's breadth is decreased by 20% then it area________?

Correct answer: B. decreased by 4%

  • A. Increased by 4%
  • B. decreased by 4%
  • C. Decreased by 1%
  • D. Remains unchanged

Explanation

Take the original length and breadth as L and B, so the original area is LB. The new area is 1.20L x 0.80B = 0.96LB, which is a 4% decrease. The likely trap is option a, caused by adding 20% and subtracting 20% without considering their multiplicative effect.

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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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