Will this graphics card work with this psu.

Little hard to read your post, but long story short no you won't have a power issue. That power supply is plenty capable of running that graphics card with virtually any CPU and not have a problem. However if you can afford one of these you shouldn't buy that GPU.

http://www.newegg.com/Product/Product.aspx?Item=N82E16814487025&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-_-na-_-na-_-na&cm_sp=&AID=10446076&PID=3938566&SID=

http://www.newegg.com/Product/Product.aspx?Item=N82E16814150719&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-_-na-_-na-_-na&cm_sp=&AID=10446076&PID=3938566&SID=

The Nvidia GTX 750 Ti will probably give about 16% more performance, and the R7 265 will give about 22% more performance before they are overclocked.So it gets a good bit more performance for your money if you can afford them. Both will work with your PSU.
 
You are using a less than top grade power supply and you are pushing it to and beyond it's maximum at 500W. Where did you get the 500W from? The 260X has a 115W TDP why do you think that you need 500W? An NVidia GTX750ti is an alternative, better is some places, worse in others, and has a 60W TDP.
 


First about the 12v-rail, don't worry about that. It has a 6-pin PCI-E power connector that will be used which always is set up to give 75w of power.

@DonkeyOatie: Dude you need to do some more reading. These PSUs are not top dollar units, but they are excellent units for budget systems first and are highly recommended. I can't even take a guess at how many computers I have seen get recommended to use them on this website in budget builds, over 40 times at least and I am not here a lot.

Second, the PSU's max power rating is 430w, not 500w.
Third, nothing about the system he has indicates that it will ever be pushed up to or past 400w, let alone 500w.
Fourth, The Nvidia GTX 750Ti beats it in all places:
http://www.guru3d.com/articles_pages/nvidia_geforce_gtx_750_and_750_ti_review,11.html
http://www.anandtech.com/show/7764/the-nvidia-geforce-gtx-750-ti-and-gtx-750-review-maxwell/13

Finally, the TDP for AMDs cards is never given. It never is for any GPU really, so its not good to assume 115w TDP or 60w TDP for those cards. A major reason for this is because it can change from card to card, for example some GTX 750 TI cards have been ran with a 6-pin power connector to allow heavy overclocking. While power consumption and TDP are not the same measurement they are related so TDP will be much higher on these cards than those without the extra power connector.
 


Clarification. I did not say that the PSU was bad, merely that it was not top grade. I think that we both agree on that. I know that it is a 430W supply. The 500W came from the OP here:

I can't get a 500 watt but only a 430 watt psu. The card says minimum 500 so can i use the 450 watt psu.
I'm only using pentium 4gigs of ram and 2 fans. thanks links below.

and I pointed out that 500W was over the PSU's maximum.

The majority of benchmarks have the GTX750ti as superior to the 260X, but not all of them, so it is better in some places, worse in others. (mostly better)

I was giving an example of a measured TDP of a 260X from a review and noting that I could not possibly see where the OP got the 500W he mentioned from.

I stand by my numbers as far as the OP is concerned. I was not making a general statement to all people in all cases. The OP here has mentioned nothing about overclocking and I'm not considering it in my answers, only the 60W limit for the GTX750ti drawing from the PCIe.

 
They say that Ceausescu even though 350w is enough, not all PSUs are good quality. There are plenty of 500w units that only make 350w. They do this as an insurance measure so if you use a 450w PSU that is low quality and it fries the card or system, they can tell you you are SOL because you didn't follow the directions.

At MAX 100% load the 260x can only use 113w of power.