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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

Correct answer: B. 50% increase

  • A. 25% increase
  • B. 50% increase
  • C. 50% decrease
  • D. 75% decrease

Explanation

If the original area is L x B, the new area is (L/2) x (3B) = 3LB/2, or 1.5 times the original. The increase is 0.5 of the original area, which is 50%. Option d, 75% decrease, incorrectly combines the halving of length with the area change without including the tripling of breadth.

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About Percentages

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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