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An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?

An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank? Correct Answer 37.5%

Let the capacity of the tank be 100 litresInitially: A type petrol = 100 litresAfter first operation:A type petrol = $$\frac{{100}}{2}$$ = 50 litresB type petrol = 50 litres
After second operation:A type petrol = $$\frac{{50}}{2}$$ + 50 = 75 litresB type petrol = $$\frac{{50}}{2}$$ = 25 litresAfter third operation:A type petrol = $$\frac{{75}}{2}$$ = 37.5 litresB type petrol = $$\frac{{25}}{2}$$ + 50 = 62.5 litresRequired percentage = 37.5%

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