Public schools across the city have been overcharging students for replacement ID cards - wrongfully raking in thousands of dollars from teens, The Post has learned. Schools like Boys and Girls HS in Brooklyn, Eleanor Roosevelt HS in Manhattan and Baccalaureate School for Global Education in Queens have been charging students $5 to replace ID cards that cost the schools less than 50 cents to produce. Dozens of other schools also charge students more than the $2 ceiling set by the Department of Education. "It's crazy that they charge us more than other schools," said Frankie Alvarez, 15, a 10th-grader at the Baccalaureate school. Students and their families at the 3,500-student Boys and Girls HS in Bedford-Stuyvesant said kids have even been charged for new IDs when it was the school that misplaced the cards. Student IDs are regularly confiscated from teens who arrive late. "They take his ID and when you go to get it, they can't find it and you have to purchase another one," said the grandmother of a freshman who has had to buy three $5 cards this school year. More than 400 city middle and high schools use an electronic student ID and attendance system that was introduced in 2001. Students at those schools have to swipe their cards through a reader in order to come inside. Because the bulk of the program is funded by the Department of Education, schools are only responsible for paying for ID cards and printing supplies - which run about $5,000 for a packet of 10,000 cards. Administrators said schools typically go through two to three times their student enrollment in ID cards - meaning a 3,000-student school that charges kids $5 for new ID cards could collect $30,000 dollars per year. Speaking through a Department of Education spokeswoman, the principal of the Baccalaureate School, Kelly Johnson, said she hadn't been aware of the $2 ceiling. She said the 430-student school had only collected about $200 from kids and that the money was used to offset the high price of yearbooks - a use permitted by DOE policy.

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