UPSC PYQPrelims 2025

Civil Services Examination · प्रश्न 10

The price (p) of a commodity is first increased by k%; then decreased by k%; again increased by k%; and again decreased by k%. If the new price is q, then what is the relation between p and q?

  1. p(10^4 - k^2)^2 = q × 10^8
  2. p(10^4 - k^2)^2 = q × 10^4
  3. p(10^4 - k^2) = q × 10^4
  4. p(10^4 - k^2) = q × 10^8
उत्तर देखें और व्याख्या

उत्तर: (A) p(10^4 - k^2)^2 = q × 10^8

व्याख्या

q = p(1 + k/100)²(1 - k/100)² = p(10^4 - k²)²/10^8. (Answer as per the official UPSC answer key.)