यदि population 10 प्रतिशत घटे और area 10 प्रतिशत बढ़े, तो density में लगभग कितना परिवर्तन होगा?
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A. लगभग 18.2 प्रतिशत घटेगीIt will decrease by about 18.2 percent
Simple Explanation
New density \(\frac{0.9P}{1.1A} = 0.81818...\frac{P}{A}\) है। इसलिए density original की लगभग 81.8 percent रह जाती है, यानी लगभग 18.2 percent decline होता है। पहला विकल्प सही है। 20 percent simply subtract करना approximation होगा, exact proportional result नहीं। परीक्षा में ratio method अधिक accurate है। / The new density is \(\frac{0.9P}{1.1A} = 0.81818...\frac{P}{A}\). Therefore, density becomes about 81.8 percent of the original, which means a decline of approximately 18.2 percent. The first option is correct. Simply subtracting 20 percent would be an approximation rather than the exact proportional result. In examinations, the ratio method is more accurate.
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