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A gardener increases the area of his rectangular garden by increasing its length by 40% and decreasing by 20%. The area of the new garden?

Correct answer: B. Has increase by 12%

  • A. Has increase by 20%
  • B. Has increase by 12%
  • C. Has increase b 8%
  • D. Is exactly the same as the old area

Explanation

Let the original length and breadth be L and B, so the old area is LB. The new area is 1.40L × 0.80B = 1.12LB, which is a 12% increase. A student may choose 8% by subtracting 20% from 40% without multiplying the successive changes.

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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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