If the length of a rectangle is increased by 25%, then by…
If the length of a rectangle is increased by 25%, then by what percent should its width be reduced so that the area remains unchanged?
यदि एक आयत की लंबाई में 25% की वृद्धि की जाती है, तो उसका क्षेत्रफल अपरिवर्तित रखने के लिए उसकी चौड़ाई में कितने प्रतिशत की कमी करनी होगी?
Detailed Solution & Logic
Correct Answer:
20% decrease / 20% कमी
Solution
मान लेते हैं प्रारंभिक लंबाई = 100 और चौड़ाई = 100
लंबाई में 25% वृद्धि के बाद:
100+25=125
क्षेत्रफल समान रखने के लिए नई चौड़ाई:
$\frac{100\times100}{125}=80$
चौड़ाई में कमी:
100-80=20%
सही उत्तर: 20% decrease / 20% कमी
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