You have plenty of places to go around Pune, Lonavala and Mumbai with low budget and less number of days. The famous ones close by are Mahabaleswar, Satara, Matheran and Alibaug.
You can do Hampi trip of 2 days. Stay is available at 500-1000 per day. Food is good and cheap there. Also you can rent scooty (For any one day) if you want. All points/temples are at close distance to each other except few. Or else Jog waterfall, sharavati forest and murudeshwar in karnataka can be done in just 3k for 2 day.
If you are looking for some adventure and fun you must check out Bhandardara, dist. Ahmednagar, Maharashtra. It's an amazingly beautiful place. There are mountains all around. Bhandardara is situated in the midst of Sahyadri range. You must visit this place once at least. Check out The Land Of Wanderlust (TLOW) website..... https://thelandofwanderlust.com/ For Details please share your mail id or what's app message on +918450977725.
Warm Regards
Hello Rucha, Greetings... Hope you are doing well. How many days you would like to travel? If you are interested in trekking then you can enjoy a lot in solo treks.
Otherwise you can visit Kokan where you will definitely enjoy a lot.... Beaches, temples, homestay n local authentic food. If you need anymore information you can WhatsApp me 9604609999 Thanks