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An empty fuel tank to a car was filled with A type of petrol. When the tank was quarter empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again, it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the fuel tank?

An empty fuel tank to a car was filled with A type of petrol. When the tank was quarter empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again, it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the fuel tank? Correct Answer None of these

Let the capacity of the fuel tank be 100 litres.

Initially,

 A type petrol = 100 litres.

After first operation:

A type petrol = 100 × (3/4) = 75 litres

B type petrol = 100/4 = 25litres

After second operation:

A type petrol = 75/2 + 50 = 87.5 litres

B type petrol = 25/2 = 12.5 litres

After third operation:

A type petrol = 87.5/2 = 43.75 litres

B type petrol = 12.5/2 + 50 = 56.25 litres

∴ % of A type of petrol in the fuel tank = 43.75%

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