If you want your trip in low budget the only thing you can do is take a help from travel agency which suggest you better that anyone. They help you to plan your trip manage your all things from accommodation to transportation. To get the list of best travel agency in Nagpur visit here: https://www.pickeronline.com/nagpur/travel-agents
Hi Pooja, I would strongly suggest you to go to Bhutan or Nepal or the Indian Himalayas in Himachal Pradesh.4-5 days are ideal for a solo trip in Parvati Valley, Spiti or Kinnaur in Himachal. On the other hand you can visit Seychelles, Gokarna or Goa for a 5 day solo trip.
If can visit goa it can be the best trip as of now. Its off season in goa due to rains and therefore you will get cheap hotels, foods and activities even less crowds on beaches and famous places, I visited in July and it was fun.