On January \(1,\) \(2076,\) Lake Loser contains \(x\) liters of water. By Dec \(31\) of that same year, \(\dfrac27\) of

[Vincen]

On January \(1,\) \(2076,\) Lake Loser contains \(x\) liters of water. By Dec \(31\) of that same year, \(\dfrac27\) of the \(x\) liters have evaporated. This pattern continues such that by the end of each subsequent year the lake has lost \(\dfrac27\) of the water that it contained at the beginning of that year. During which year will the water in the lake be reduced to less than \(\dfrac14\) of the original \(x\) liters?

A. 2077
B. 2078
C. 2079
D. 2080
E. 2081

Answer: D

Source: Manhattan GMAT