From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is

Q: From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol wi…

The amount of petrol left after 4 operations = 200 × 1 - 40 200 4 = 200 × 4 5 4 = 200 × 256 625 = 81.92 litres Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

81.92L
96L
118.08L
None of these

Correct Answer: 118.08L

Explanation:

The amount of petrol left after 4 operations

= $200 \times 1 - \frac{40}{200} 4$

= $200 \times \frac{4}{5} 4$

= $200 \times \frac{256}{625}$

= 81.92 litres

Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

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