I need a gaming pc for gta 5

Solution
It's 50$ over your budget but it will perform a whole lot better than what you've posted.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD - Ryzen 5 2600 3.4GHz 6-Core Processor ($159.89 @ OutletPC)
Motherboard: ASRock - B450 Pro4 ATX AM4 Motherboard ($59.99 @ Newegg)
Memory: G.Skill - Ripjaws V Series 8GB (2 x 4GB) DDR4-2800 Memory ($67.98 @ Newegg)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($45.89 @ OutletPC)
Video Card: Gigabyte - Radeon RX 570 4GB Gaming 4G Video Card ($139.99 @ Newegg)
Case: Deepcool - DUKASE V2 ATX Mid Tower Case ($34.99 @ SuperBiiz)
Power...
It's 50$ over your budget but it will perform a whole lot better than what you've posted.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD - Ryzen 5 2600 3.4GHz 6-Core Processor ($159.89 @ OutletPC)
Motherboard: ASRock - B450 Pro4 ATX AM4 Motherboard ($59.99 @ Newegg)
Memory: G.Skill - Ripjaws V Series 8GB (2 x 4GB) DDR4-2800 Memory ($67.98 @ Newegg)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($45.89 @ OutletPC)
Video Card: Gigabyte - Radeon RX 570 4GB Gaming 4G Video Card ($139.99 @ Newegg)
Case: Deepcool - DUKASE V2 ATX Mid Tower Case ($34.99 @ SuperBiiz)
Power Supply: SeaSonic - S12II 620W 80+ Bronze Certified ATX Power Supply ($41.53 @ Newegg)
Total: $550.26
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-11-05 10:26 EST-0500

If you want to save up some cash you can drop the Ryzen 5 2600 for a Ryzen 3 2200g.

PCPartPicker part list / Price breakdown by merchant

CPU: AMD - Ryzen 3 2200G 3.5GHz Quad-Core Processor ($96.99 @ SuperBiiz)
Motherboard: ASRock - B450 Pro4 ATX AM4 Motherboard ($59.99 @ Newegg)
Memory: G.Skill - Ripjaws V Series 8GB (2 x 4GB) DDR4-2800 Memory ($67.98 @ Newegg)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($45.89 @ OutletPC)
Video Card: Gigabyte - Radeon RX 570 4GB Gaming 4G Video Card ($139.99 @ Newegg)
Case: Deepcool - DUKASE V2 ATX Mid Tower Case ($34.99 @ SuperBiiz)
Power Supply: SeaSonic - S12II 620W 80+ Bronze Certified ATX Power Supply ($41.53 @ Newegg)
Total: $487.36
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-11-05 10:29 EST-0500
 
Solution