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Sikkim is a lovely summer paradise of India where there are lots to explore. Will share a few Tripoto links written by travellers pertaining to their travel to Sikkim. https://www.tripoto.com/sikkim/trips/things-to-do-in-sikkim-tourism-itinerary Splendours Of Sikkim: Exploring The Gorgeous North & East Sikkim
https://www.tripoto.com/sikkim/trips/splendours-of-sikkim-exploring-north-and-east-sikkim-59246e1decfeb Tripoto organises a package to Sikkim, will share the link, just in case you might be interested. https://www.tripoto.com/sikkim/tour-packages/splendid-sikkim-tour-163362185665 Arunachal Pradesh is yet another beauty spot of north east which is a must to visit. https://www.tripoto.com/india/trips/arunachal-pradesh-your-ultimate-guide-to-10-days-in-india-s-least-explored-state-5b02bd8c01e95 Budget for Arunachal Pradesh varies between 22k to 25k. At least minimum 8 days are much needed to explore this state. Kindly check packages with MMT, Yatra, travel triangle.
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The places to go around in sikkim is firstly go for a side scene in gangtok. , then you can go for changu lake if you want any local people can help you if you want budget like 50k
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