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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?

a) 33.5%
b) 37.5%
c) 40%
d) 50%

Answer: b
Explanation: 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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