UPSC CAPF AC 2024 Paper 1 · Question 56

Question 56 of the UPSC CAPF (AC) 2024 Paper I (4 August 2024). Try it first, then open the answer and explanation.

1. CAPF 2024 · P-I · Q56 · General Mental Ability · Arithmetic

   There was a hike in petrol price by 12%. By how much percentage should a person decrease his petrol consumption such that there is no change in his expenditure on petrol?

   1. 8.6%
   2. 9.8%
   3. 10.7%
   4. 12%

   पेट्रोल की कीमतों में 12% की बढ़ोत्तरी हुई। कोई व्यक्ति पेट्रोल की खपत में कितने प्रतिशत की कमी करे जिससे उसके द्वारा पेट्रोल पर किए जाने वाले व्यय में कोई परिवर्तन नहीं हो?

   1. 8.6%
   2. 9.8%
   3. 10.7%
   4. 12%
   Show answer

   Answer: (3) 10.7%

   उत्तर: (3) 10.7%

   To keep expenditure unchanged, consumption must fall by 12/(100 + 12) × 100 = 1200/112 ≈ 10.7%. Cutting by the full 12% is wrong because the cut applies to the higher price.

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