The following result is obtained by our expert's opinion:
For the specs you are looking for, you have to stretch your budget a little. But if you try to buy it offline then in-shop negotiation can make it under your budget very easily. Buying laptop offline is comparatively more economical them buying them online.
You can get only upto 3 GB graphics card with good specs under your budget.
Our Most recommended -
1. HP Pavilion Core i5 9th Gen - (8 GB/1 TB HDD/Windows 10 Home/3 GB Graphics/NVIDIA Geforce GTX 1050) 15-bc515TX Gaming Laptop -
https://www.flipkart.com/hp-pavilion-core-i5-9th-g…
2. Asus ROG Strix G Core i5 9th Gen - (8 GB/1 TB HDD/Windows 10 Home/4 GB Graphics/NVIDIA Geforce GTX 1050) G531GD-BQ036T Gaming Laptop -
https://www.flipkart.com/asus-rog-strix-g-core-i5-…
3. ASUS TUF Gaming FX705DD 17.3" FHD Laptop GTX 1050 3GB Graphics (Ryzen 5-3550H/8GB RAM/1TB HDD + 256GB PCIe SSD/Windows 10/Stealth Black/2.70 Kg), FX705DD-AU060T -
https://www.amazon.in/FX705DD-Graphics-5-3550H-Win…
Strictly under your budget (only because of the graphics card) -
1. ASUS VivoBook Gaming F570ZD-DM226T AMD Quad Core Ryzen 5-2500U 15.6-inch FHD Thin and Light Laptop (8GB RAM/1TB HDD/Windows 10/4GB NVIDIA GeForce GTX 1050 Graphics/Backlit KB/1.96 Kg) -
https://www.amazon.in/R5-2500-Windows-Gaming-Lapto…