The price of fuel decreases by 35%, 10% and 30% 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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Decreases by 32.43%.
Assume original price = ₹100
Month 1: 35% decrease → 100 × 0.65 = ₹65
Month 2: 10% decrease → 65 × 0.90 = ₹58.5
Month 3: 30% decrease → 58.5 × 0.70 = ₹40.95
Month 4: 65% increase → 40.95 × 1.65 = ₹67.57
Now compare with original price ₹100:
Change = 67.57 - 100 = −32.43
Net decrease = 32.43% decrease