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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Decreases by 46.54%.
Let the original price be ₹100
Month 1: Price = 100 − 55% of 100 = 100 − 55 = ₹45
Month 2: Price = 45 − 10% of 45 = 45 − 4.5 = ₹40.5
Month 3: Price = 40.5 − 20% of 40.5 = 40.5 − 8.1 = ₹32.4
Month 4: Price = 32.4 + 65% of 32.4 = 32.4 + 21.06 = ₹53.46
Final Price = ₹53.46
Change = 53.46 − 100 = −46.54
Percentage Change = (−46.54 / 100) × 100 = −46.54%