Delete specified file from document directory

I checked your code. It's working for me. Check any error you are getting using the modified code below

- (void)removeImage:(NSString *)filename
{
  NSFileManager *fileManager = [NSFileManager defaultManager];
  NSString *documentsPath = [NSSearchPathForDirectoriesInDomains(NSDocumentDirectory, NSUserDomainMask, YES) objectAtIndex:0];

  NSString *filePath = [documentsPath stringByAppendingPathComponent:filename];
  NSError *error;
  BOOL success = [fileManager removeItemAtPath:filePath error:&error];
  if (success) {
      UIAlertView *removedSuccessFullyAlert = [[UIAlertView alloc] initWithTitle:@"Congratulations:" message:@"Successfully removed" delegate:self cancelButtonTitle:@"Close" otherButtonTitles:nil];
      [removedSuccessFullyAlert show];
  }
  else
  {
      NSLog(@"Could not delete file -:%@ ",[error localizedDescription]);
  }
}

Swift 3.0:

func removeImage(itemName:String, fileExtension: String) {
  let fileManager = FileManager.default
  let nsDocumentDirectory = FileManager.SearchPathDirectory.documentDirectory
  let nsUserDomainMask = FileManager.SearchPathDomainMask.userDomainMask
  let paths = NSSearchPathForDirectoriesInDomains(nsDocumentDirectory, nsUserDomainMask, true)
  guard let dirPath = paths.first else {
      return
  }  
  let filePath = "\(dirPath)/\(itemName).\(fileExtension)"
  do {
    try fileManager.removeItem(atPath: filePath)
  } catch let error as NSError {
    print(error.debugDescription)
  }}

Thanks to @Anil Varghese, I wrote very similiar code in swift 2.0:

static func removeImage(itemName:String, fileExtension: String) {
  let fileManager = NSFileManager.defaultManager()
  let nsDocumentDirectory = NSSearchPathDirectory.DocumentDirectory
  let nsUserDomainMask = NSSearchPathDomainMask.UserDomainMask
  let paths = NSSearchPathForDirectoriesInDomains(nsDocumentDirectory, nsUserDomainMask, true)
  guard let dirPath = paths.first else {
    return
  }
  let filePath = "\(dirPath)/\(itemName).\(fileExtension)"
  do {
    try fileManager.removeItemAtPath(filePath)
  } catch let error as NSError {
    print(error.debugDescription)
  }
}