The side of a square is increased by 25% then how much % does its area increases?
Correct answer: B. 56.25
- A. 52.65
- B. 56.25
- C. 50.75
- D. 42.75
Explanation
Let the original side be s, so the new side is 1.25s. The new area is (1.25s)² = 1.5625s², which is 56.25% greater than s². Option b is correct; option a, 52.65%, is an arithmetic error when squaring 1.25.
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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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