As you said it is for a small room & the mentioned budget is Rs. 10000 and should run on the inverter. Let me tell you one thing, the room should be well ventilated & cooler should be installed in a window outside the room for better cooling of the room. Unless you have an air circulation you will not be satisfied with air even if you buy a cooler at a higher price.
List of Air coolers under Rs10,000 & Inverter technology
1. Bajaj COOLEST FRIO Room/Personal Air Cooler (White, 23 Litres)
2. Bajaj Platini Coolest Torque PX 97 Room/Personal Air Cooler (White, 36 Litres)
3. Hindware SNOWCREST 85-H Desert Air Cooler (Lavender, 85 Litres)
4. Crompton ACGC-DAC751 Desert Air Cooler (White, Grey, 75 Litres)
5. Symphony Diet 12T Room/Personal Air Cooler
6. Bajaj Coolest PCF 25 DLX Room/Personal Air Cooler (White, 24 Litres)
7. Flipkart SmartBuy Polar Tower Air Cooler (White, Black, 47 Litres)
8. Alpine Tower Air Cooler (White, Blue, 30 Litres)
9. Bajaj COOLEST TC 2008 Tower Air Cooler (White, 26 Litres)
10. PHOLOR COOLER ARCTIC AIR Room/Personal Air Cooler Room/Personal Air Cooler (Multicolor, 0.75 Litres)
This item number 10 is a personal (very small) cooler which has got good reviews, one of my friends is using now & said about it. The cost is also very less around Rs. 1300.