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A bucket contains 64 liters of petrol. 16 liters of petrol is removed and replaced with kerosene. 16 liters of this mixture is removed and replaced with kerosene. How much kerosene (in liters) is present now?

A bucket contains 64 liters of petrol. 16 liters of petrol is removed and replaced with kerosene. 16 liters of this mixture is removed and replaced with kerosene. How much kerosene (in liters) is present now? Correct Answer 28

We know the formula:

X = A(1 – R/C)n

Here X = Liquid remaining after replacement

A = Total quantity of liquid before replacement

R = Quantity of replaced liquid

C = Total Capacity

n = No. of times the liquid was replaced

⇒ A = 64, R = 16, C = 64 and n = 2

Putting these values in the formula,

⇒ X = 64 × (1 – 1/4)2

⇒ X = 64 × 9/16

⇒ X = 36 liters

⇒ Amount of petrol present after replacement = 36 liters

∴ Amount of kerosene present after replacement = 64 – 36 = 28 liters

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