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

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

Let the capacity of the fuel tank be 100 litres.

Initially,

Petrol of type A = 100 litres

After first operation:

Petrol of type A = 100 × 3/4 = 75 litres

Petrol of type B = 100/4 = 25 litres

After second operation:

Petrol of type A = 75/2 + 50 = 87.5 litres

Petrol of type B = 25/2 = 12.5 litres

After third operation:

Petrol of type A = 87.5/2 = 43.75 litres

Petrol of type B = 12.5/2 + 50 = 56.25 litres

∴ % of petrol of type B in the fuel tank = 56.25%

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