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?

LohaHridoy
  1. 33.5%
  2. 37.5%
  3. 40%
  4. 50%

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Answer: Option 2

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

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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 ?

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