एक आयत की लंबाई और चौड़ाई में क्रमशः 8% और 5% की वृद्धि की जाती है। आयत के क्षेत्रफल में कितने प्रतिशत की वृद्धि होगी?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. 13.4%
  2. 15.4%
  3. 12.4%
  4. 16.4%

Answer (Detailed Solution Below)

Option 1 : 13.4%
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Detailed Solution

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दिया गया है:

एक आयत की लंबाई और चौड़ाई में क्रमशः 8% और 5% की वृद्धि की जाती है।

प्रयुक्त अवधारणा:

A% और B% की लगातार दो वृद्धि के बाद अंतिम प्रतिशत परिवर्तन = \((A + B + {AB \over 100})\%\)

गणना:

क्षेत्रफल में अंतिम प्रतिशत वृद्धि \(8 + 5 + \frac {8 \times 5}{100}\) = 13.4%

∴ क्षेत्रफल में 13.4% की वृद्धि होगी।

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