Redmi note 3 is the best value for money phone you can get today within the range of 10 k infact within 15k. A beatifully designed MIUI couple with powerful snapdragon 650 workhorse would not leave anything to complain for , redmi not for is just not good on paper with its spec sheet but its beautifully craftet metal body would put many so called premium phones to shame.
Yaa the display is not 4k ( neither you should expect that in this range, and ) but it’s full hd resolution display is a piece of crafmenship, I personally feels that phones should not support 4k resolution displays as that takes more that it gives, the display gains less in terms of display quality but its repercussions on battery life is more. The sunlight legability is pretty good even in broad daylight.
The 4000 mah battery is well suited for a device this much powerfull, the only area where I feel Xioami could have done a better job is with camera , the images tends to be a little washed out but otherwise image quality is good.