From a tank completely filled with milk, 20% of liquid is removed and replaced with the same amount of water. The process is repeated 4 times more. If the remaining amount of milk is 500 litres, what is the total capacity of the tank?

Using the replacement formula for mixtures, the final quantity of milk is Initial Capacity multiplied by the fraction left after each replacement raised to the number of repetitions. Let the total capacity be C, so 500 = C times (0.8)^5, which simplifies to 500 = 0.32768C. Solving for C gives 1525 litres.

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