यदि किसी region की population और area दोनों 18 प्रतिशत घटें तो density पर क्या प्रभाव पड़ेगा?
If both population and area of a region decrease by 18 percent what happens to density?
Explanation opens after your attempt
C. समान रहेगाRemain unchanged
Simple Explanation
नई population \(0.82P\) और नया area \(0.82A\) होगा। नया density \(\frac{0.82P}{0.82A}=\frac{P}{A}\) रहेगा। इसलिए विकल्प C सही है। समान proportional change numerator और denominator में common factor की तरह cancel हो जाता है। परीक्षा में यह principle बहुत उपयोगी है क्योंकि calculation किए बिना भी answer निकाला जा सकता है। / New population is \(0.82P\) and new area is \(0.82A\). New density becomes \(\frac{0.82P}{0.82A}=\frac{P}{A}\), so it remains unchanged. Therefore option C is correct. Equal proportional changes in numerator and denominator cancel as a common factor. In examinations this principle often allows the answer to be found without lengthy calculations.
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