Hi Tanvi - I had done 8 days Bali in the month of September for INR 70,000 which included flights, stay, food, bike rentals, ferry, etc. If you pre-book your flights and stay at hostels or shared villa Bali trip is quite pocket-friendly. So, I guess for 6 days minimum budget could be anywhere between INR 55,000-65,0000. Hope this helps. And happy travelling.
Bali can be done with as low as 45-50k easily, considering you will be booking your flights a couple of month ahead and be staying in budget hotels instead of villas, eating street food over the fancy restaurants.
Depending on mode of transport and accommodations. If you choose a 3-4 star hotel, it might cost you 2000 - 4000 INR per night and it will increase based on type of Hotels. If you are choosing bike rental, it will cost 500-700 INR per day which is a cheaper option then Private Cab. In most of the Southeast countries, Grab cab is good option and some of them have Grab bike for solo travellers and if you can't ride a bike.