यदि एक आयत की लंबाई 25% से बढ़ा दी जाए और उसकी चौड़ाई 20% से बढ़ा दी जाए, तो क्षेत्रफल में प्रतिशत परिवर्तन ज्ञात करें।

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  1. 40%
  2. 50%
  3. 45%
  4. 55%

Answer (Detailed Solution Below)

Option 2 : 50%
Free
CT 01: Ancient History - Indus Valley Civilization
10 Qs. 10 Marks 6 Mins

Detailed Solution

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दिया गया है:

आयत की प्रारंभिक लंबाई = l

आयत की प्रारंभिक चौड़ाई = b

लंबाई में 25% की वृद्धि हुई है

चौड़ाई में 20% की वृद्धि हुई है

प्रयुक्त सूत्र:

क्षेत्रफल में प्रतिशत परिवर्तन = ((नया क्षेत्रफल - मूल क्षेत्रफल) / मूल क्षेत्रफल) × 100%

गणना:

प्रारंभिक क्षेत्रफल = l × b

नई लंबाई = l + 0.25l = 1.25l

नई चौड़ाई = b + 0.2b = 1.2b

नया क्षेत्रफल = 1.25l × 1.2b

नया क्षेत्रफल = 1.5lb

क्षेत्रफल में प्रतिशत परिवर्तन = ((1.5lb - lb) / lb) × 100%

क्षेत्रफल में प्रतिशत परिवर्तन = (0.5lb / lb) × 100%

क्षेत्रफल में प्रतिशत परिवर्तन = 0.5 × 100%

क्षेत्रफल में प्रतिशत परिवर्तन = 50%

सही उत्तर विकल्प 2 है।

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-> ITBP Constable Tradesman 2024  Notification has been released for the position of Constable (Pioneer) Group 'C', Non-Gazetted (Non-Ministerial).

-> A total number of 202 Vacancies have been announced for the post of Constable (Carpenter), Constable (Plumber), Constable (Mason) & Constable (Electrician). Interested Candidates can apply from 12th August 2024 to 10th September 2024.  

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