Your motherboard seems to be an old socket 775 model from a Lenovo system from a few years back.
You're not going to be able to play the latest games at high settings with that pretty old setup but you can get a GDDR5 version of the R7 250 for 6000 and you should be able to play most games at low-medium settings depending on the game.
http://www.flipkart.com/sapphire-amd-ati-radeon-r7-250-boost-1gb-ddr5-1-gb-graphics-card/p/itmdqz82gsj4gcmw?pid=GRCDQZ82GSJ4GCMW&otracker=from-search&srno=t_1&query=r7+250&ref=bb180b16-d306-41a0-a09e-f243328802fc