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Previous Year Question (PYQs)



The percentage change in area of a rectangle by decreasing its length and increasing its breadth by 5% is





Solution

Assume: Length = 100, Breadth = 100

Original Area = 100 × 100 = 10,000


New length = 95 (5% decrease)
New breadth = 105 (5% increase)

New Area = 95 × 105 = 9975


Change = 9975 – 10000 = –25

Percentage change = (–25 ÷ 10000) × 100 = –0.25%


✅ Area decreases by 0.25%



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