Multiple choice

Length of a rectangle is reduced by 25%, its breadth should be increased by how much percent so that its area increased by 2%? एक चतुर्भुज की लम्बाई 25% कम कर दी गयी इसकी चौड़ाई में कितने प्रतिशत की वद्धि करनी चाहिये ताकि इसका क्षेत्रफल 2 प्रतिशत बढ़ जाये ?

  1. 32%

  2. 27%

  3. 41.5%

  4. 36%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original length = L, breadth = B. New length = 0.75L (25% reduction). Let new breadth = B'. We need new area = 1.02LB (2% increase). So 0.75L × B' = 1.02LB. B' = 1.02B/0.75 = 1.36B. This means breadth increases by 36%.

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