Please give the following details-
1.Whether the cost includes only the inverter or inverter+batteries (at 10k, the combo option is difficult to get)
2.Which appliances/ gadgets you wish to power, for how long and which appliances you wish to power simultaneously and in isolation (in short, peak load).
To keep costs low, I suggest you power only lights, fans and maybe a TV through the inverter. For the inverter, look at offerings from APC, Luminous, Sukam. For the battery, you can take a look at Exide or Base Batteries.