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?Solution
Let original price = 100 After 55% decrease → 100 × 0.45 = 45 After 10% decrease → 45 × 0.90 = 40.5 After 20% decrease → 40.5 × 0.80 = 32.4 After 65% increase → 32.4 × 1.65 = 53.46 Compare with original price: Net change = 53.46 − 100 = −46.54 Final Answer- The price of fuel decreases by 46.54% compared to its original price.
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