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For 3D 2N budget comes around 10K to 12K. For 4N 5D the budget is between 13K to 16K. You can check with MMT and Yatra too for budget travel. As far as budget stay, will share a few Tripoto links written by travellers pertaining to budget stay in Goa, see if it is suitable for your travel. Where To Stay In Goa: Here Are The 13 Best Homestays, Resorts And Budget Hotels
https://www.tripoto.com/goa/trips/where-to-stay-in-goa https://www.tripoto.com/trip/goa-is-not-just-sunshine-but-rains-and-tropics-stay-at-these-hotels-in-goa-under-rs-2100-60e3f3a67013f https://www.tripoto.com/goa/trips/cant-find-a-place-to-stay-in-goa-stay-right-on-the-beach-at-these-kickass-hotels-starting-inr-1000-5c33413c3f1e1
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If you're going with family, look for homestays on Airbnb
if you're solo traveller, there are very good hostels which are in budget
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