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If you are not strong and think you can manage this... then you are in for a surprise.
As information given in WIKI
Tung fort is also named Kathingad fort. The word "Kathin" in Marathi means difficult. While climbing, one can experience the difficult challenge of reaching this fort. The fort is conical and has steep climbs with a very narrow route on the edge of the mountain throughout.
Trekkers for Tung fort were me, My Friend's Nikhil, Saurabh, Dayanand, and Ravindra
So here are the things you need to remember How to reach : from Pune:
There are 3 way to reach tung fort from pune
1st Via lonavala(which is also best for people who are coming from Mumbai)
one easy way via Pune-Lonavala-(road passes nearby amby valley)-tungi village-Tung fort
lanavala - bhushi dam-loin point-Khusalakhab (take left road from here)-tungi village-tung fort
2nd is via Lohgad Fort Lonavala - lohagad fort - pawana Dam-Jevan village(tikona Fort is 4 Km away from here)-Chasar village-morve village-tungi-tung fort
3rd Route That we took has really nice view on the way(will recommend you this)
Pune-chandi chowk-Paud-Jevan village(tikona Fort is 4 Km away from here)-Chasar village-morve village-tungi-tung fort
Things that You will see on the way :-
When you reach javan village you will get to know there are 4 options to choose from
Lohgad fort-22 km Tikona fort- 4 km Koraigad Fort-25 km Tung fort -18 km
See the below picture for reference
2)Near javan village boating also available just in the range of 3-4 km
3)From javan to tungi Village i bet you will love to ride your bike its like ever 2-3 km you would think of picture on the way
The best part of this trek was this route you can see the mountains everywhere in the way which is fantastic.
here are some snap of our journey
Lastly when you reach the tung fort there is one small temple nearby its parking for Bike and Car with security (paid parking)
at start of the trek you will see Large board containing information( in marathi) about Tung fort
Now its time to start trek but before that lets take a look at were we are going
can you see that top right corner is the point we are heading looks easy right ..? you will get to how easy it is later on...
Here are some hardest trek in my opinion till date (which i have done)
harichandra gad( the riskiest trek we ever did)
kalsubai trek ( not hardest but its very long trek will test your endurance)
Torna fort ( don't try to trek if this is your 1st trekking experience)