Metro

Rush is on for units in Harlem affordable-housing development

If you build it — and the rent’s cheap — they will come.

An affordable-housing development in Harlem with studios renting for as little as $349 a month sparked a stampede of 50,000 applicants, officials said Monday.

With just 124 permanently affordable units in the soon-to-be-completed Sugar Hill development — minus 25 set aside for the homeless — that made the odds of snagging one of the 99 available low-priced apartments roughly 500 to 1.

That included three-bedroom units going for $1,588 per month — but only to those with household salaries that max out at $79,700 for a family of six.

The $86.5 million development at 155th Street and St. Nicholas Avenue, funded with a mix of public and private money secured by the Broadway Housing Communities, will also include a children’s museum of art and storytelling and an early childhood education center.

“This is really a moment of tremendous progress for this neighborhood, and for this city,” said Mayor de Blasio.