Step1: Permssion needed to save image.

<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />

Step2: Saving image to the particular directory with new name as given by the user. This will make a seperate directory to the sd-card memory.

String picName = "IMAGE_NAME" + Calendar.getInstance().get(Calendar.HOUR_OF_DAY) + Calendar.getInstance().get(Calendar.MINUTE) + Calendar.getInstance().get	(Calendar.SECOND) + ".jpg";

  try {
	String IMAGE_DIRECTORY_PATH = Environment.getExternalStorageDirectory() + File.separator + "DIRECTORY_NAME";
        File sd = new File(IMAGE_DIRECTORY_PATH);
        if (!sd.exists()) {
             sd.mkdir();	// if directory dosen't exist creating new one
        }

        if (sd.canWrite()) {
             Uri uri = data.getData();
             String sourceImagePath = getPath(getActivity(), uri);
             File source = new File(sourceImagePath);
             File destination = new File(sd, profilePicName);

             if (source.exists()) {
                  FileChannel src = new FileInputStream(source).getChannel();
                  FileChannel dst = new FileOutputStream(destination).getChannel();
                  dst.transferFrom(src, 0, src.size());
                  src.close();
                  dst.close();

                  imagePath = destination.getAbsolutePath();
              }
        }
      } catch (Exception e) {
           e.printStackTrace();
      } 

Step3: If the requirement is to delete files of that particular directory

public static void delete(File f) throws IOException {
        if (f.isDirectory()) {
            for (File c : f.listFiles()) {
                c.delete();
            }
        } else if (f.getAbsolutePath().endsWith("FIR")) {
            if (!f.delete()) {
                new FileNotFoundException("Failed to delete file: " + f);
            }
        }
    }