Looking for a pc build under 1 lakh with monitor, keyboard,mouse,gaming chair

1) You do not need gaming chair. Get that later. It is a comfort, not necessity.

2) It should be, yes.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD - Ryzen 5 2600 3.4GHz 6-Core Processor (₹17400.00 @ Amazon India)
Motherboard: MSI - B450M PRO-VDH Micro ATX AM4 Motherboard (₹8199.00 @ Amazon India)
Memory: Corsair - Vengeance LPX 8GB (2 x 4GB) DDR4-2666 Memory (₹9347.32 @ Amazon India)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive (₹3249.00 @ Amazon India)
Video Card: GALAX - GeForce GTX 1060 6GB 6GB OC Video Card (₹24000.00 @ Amazon India)
Case: Deepcool - TESSERACT SW ATX Mid Tower Case (₹4000.00 @ Amazon India)
Power Supply: Corsair - CX (2017) 450W 80+ Bronze Certified ATX Power Supply (₹4799.00 @ Amazon India)
Operating System: Microsoft - Windows 10 Home OEM 64-bit (₹8000.00 @ Amazon India)
Monitor: Asus - VP247H-P 23.6" 1920x1080 60Hz Monitor (₹11800.00 @ Amazon India)
Keyboard: Corsair - K55 RGB Wired Gaming Keyboard (₹3899.00 @ Amazon India)
Mouse: Corsair - Harpoon RGB Wired Optical Mouse (₹3297.46 @ Amazon India)
Total: ₹97990.78
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-10-06 20:48 IST+0530

With OS. Add an SSD down the road. Will do 1080p gaming pretty good.