Question:
The price of fuel decreases by 55%, 10% and 20% in three successive months, but increases by 65% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?
ईंधन की कीमत में तीन क्रमिक महीनों में 55%, 10% और 20% की कमी होती है, लेकिन चौथे महीने में 65% की वृद्धि होती है। मूल कीमत की तुलना में चौथे महीने में ईंधन की कीमत में प्रतिशत वृद्धि/कमी क्या है?
Options:
- (A) Increases by 51.62%
- (B) Increases by 48.43%
- (C) Decreases by 46.54%
- (D) Decreases by 50.53%
- (A) Increases by 51.62%
- (B) Increases by 48.43%
- (C) Decreases by 46.54%
- (D) Decreases by 50.53%
Correct Answer: Option C
Explanation:
Detailed Explanation: Final multiplier = \(0.45 \times 0.90 \times 0.80 \times 1.65 = 0.5346\).
Net change = \(1 – 0.5346 = 0.4654 = \mathbf{46.54\%}\) decrease.
विस्तृत व्याख्या: माना मूल कीमत = 100
अंतिम कीमत = \(100 \times (1 – 0.55) \times (1 – 0.10) \times (1 – 0.20) \times (1 + 0.65)\)
\(= 100 \times 0.45 \times 0.90 \times 0.80 \times 1.65 = 100 \times 0.5346 = 53.46\)
शुद्ध कमी = \(100 – 53.46 = \mathbf{46.54\%}\) कमी (Decreases by 46.54%)।