Donald J. Trump paid $750 in federal income taxes the year he won the presidency. In his first year in the White House, he paid another $750.

He had paid no income taxes at all in 10 of the previous 15 years — largely because he reported losing much more money than he made.

In fact, those public filings offer a distorted picture of his financial state, since they simply report revenue, not profit. In 2018, for example, Mr. Trump announced in his disclosure that he had made at least $434.9 million. The tax records deliver a very different portrait of his bottom line: $47.4 million in losses.