If you can go a bit higher, Audio Technica AD700 available for 7.9k.
http://www.proaudiohome.com/Headpho...-AD700-Dynamic-Audiophile-open-back-Headphone
http://turntablelab.com/pages/headphone-buying-guide-open-vs-closed-headphones
http://www.howtogeek.com/191416/ask...losed-back-headphones-and-which-should-i-get/
I am no Audiophile, but in a gist, closed headphones are better when you want isolation from outside noise and useful for precision listening if you are into professional audio/music composition etc. They also have the side effect of having deeper bass and they don't leak sound.
Open headphones sound more natural and suitable for movies and games etc with maybe added DSP like surround sound etc. Since they are open, they tend to leak sound and don't isolate you from external noise. Sound leakage is not that bad either. If you have volume high enough that somebody is able to hear the sound outside, then you have it high enough to damage your ears.
Also open headphones are more comfortable to wear for longer periods of time.
JVC HARX700 is Open and so are Audio Technica AD700. I had used JVC HARX900 (these were closed/semi closed) and later moved to AD700. I use these headphones for gaming and movies. They are very very comfortable and very good for your usage.
Do note that AD700 is an older model and there is a newer iteration named AD700X which is considered inferior to the older model.
AD700 seems to be so much in demand that it has actually increased in price considerably compared to its newer iteration. On Amazon US, these are selling for $190
I actually got mine in India officially for 6k about 3 years back from the same source that I posted. 7.9k is the lowest price that I have seen for these in India lately.
RX700 is semi-open, but more open than the RX900 that I used.
As for AD700, they are known to have weak bass (typical of many open headphones). But if you ask me from experience, they do have good bass and in the right kind of way Its not too overwhelmingly heavy and the way I like it. You can tweak it further with EQ.
If you are open to buy second hand (couple of months old but seldom used), I've Audio Technica M50x available for sale for 9K.
^^ Those are technical specs and only give a glimpse of what the headphones will theoretically able to do. How they sound in practicality differs based on the the overall acoustic engineering and which boils down to every last bit of detail in the design including the ear pads. For instance every headphone out there differing in price from Rs 200 to 50,000 or more may advertise a frequency range of 5Hz~22KHz. Even if everything else in the specs is the same, they still won't sound the same.
The exact same driver may behave differently based on the ear cup design, ear pads, the kind of connecting cable used, the source etc.
As an example, take a look at MrSpeakers Mad dog headphones
https://mrspeakers.com/mrspeakers-mad-dog-headphones/
What they do is use a off the shelf headphones called Fostex T50RP which don't cost a lot and then mod it and the end result is the Mad dog headphones which cost a pretty buck and apparently justify every bit of that cost.
What you buy depends on how you like your sound. Audiophiles have their own tastes based on the kind of music they like. Professionals typically prefer flat/neutral headphones. Gamer's look for positional audio.
Regarding the AMP, you will need it for headphones with high impedance rating. For the typical 32 ohm roundabouts, you don't need a dedicated AMP. However some headphones in that range apparently do sound better when driven through an amplifier even if they don't need the amp for the getting the desired amplitude.
Thanks for reply . Open Or Closed which one is better ?
This looks like a good deal if you don't mind on ear headphones.
http://www.amazon.in/Sennheiser-Momentum-On-Ear-Headphone-Black/dp/B00DKPXU9A/ref=sr_1_5?ie=UTF8&qid=1418266328&sr=8-5&keywords=momentum sennheiser
Dropped to 7k on amazon today.
http://www.amazon.in/dp/B00DKPXVEY/...PTJNJC8XMQTPCKH7&pf_rd_i=20&pf_rd_p=547880947