Cheap Apartments For Rent Monroe Nc . A 1 bedroom apartment on average costs $1,648 and ranges from $755 to $2,015. A 2 bedroom apartments averages $2,023 and ranges from $675 to $2,875. 76 Young Avenue Southwest Concord, NC apartments for rent from www.apartmentlist.com Monroe features 410 low income apartments. 9900 heathergate ln has rental units starting at $1725. A 1 bedroom apartment on average costs $1,648 and ranges from $755 to $2,015.