Those resident rounds rose less than 2 percent.

Tensions Over the Trump Name

The Trump Organization’s two city skating rinks — Wollman Rink and Lasker Rink, both in Central Park — seemed to be prospering in the winter of 2015-2016.

But the following year, revenue dropped 5 percent, following Mr. Trump’s campaign for the presidency and election victory.

Matt Falber of Central Park Sunset Tours said a fight once broke out between two visitors over Mr. Trump. As a result, he has sometimes added a warning before bringing groups to the Wollman Rink, as well as to the carousel, which is also run by the Trump Organization.

“People would laugh and I would say, ‘You think I am joking?’” Mr. Falber said.

The carousel in Central Park has been operated by the Trump Organization since 2011, when the “Trump Organization implemented significant changes and received tremendous praise for returning the famed carousel to its original grandeur,” according to the organization’s website.

For the year beginning May 1, 2017, the Trump Organization turned a profit of just over $30,000 on the carousel, a sharp decline from over $188,000 profit two years earlier, according to city data.

Although the antique attraction is technically called the Michael Friedsam Memorial Carousel, for a time the name “Trump Carousel” was on at least one sign.

Last May, the sign was taken down and replaced, the word “Trump” swapped with a tiny picture of a horse.