2. According to the state regulations, the tax calculation method for personal income from publishing the same work in the form of books or periodicals is as follows:
(1) No tax is levied on royalties not exceeding 800 yuan;
(2) For royalties exceeding 800 yuan but not exceeding 4000 yuan, a tax of 14% is levied on the portion exceeding 800 yuan;
(3) For royalties exceeding 4000 yuan, a tax of 11% is levied on the entire amount.

Recently, Lu Chuan received a royalty for publishing a novel and paid 420 yuan in personal income tax. What is the amount of this royalty? ( )
(A) 3400
(B) 3600
(C) 3800
(D) 4000
2.C.

Since $4000 \times 11 \% = 440 > 420$, the manuscript fee is between 800 and 4000 yuan. Let the manuscript fee be $x$ yuan. According to the problem,
$$
(x-800) \times 14 \% = 420 \text{.}
$$

Solving for $x$ gives $x = 3800$ (yuan).