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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?
Answer & Solution
Correct Answer:
Option
B
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%
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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