Logo Conversion to Vector Formats

I already have the logo artwork, but it’s locked in a single JPEG file. I simply need that exact design reproduced without any background and supplied in a full suite of professional, print-ready and web-ready formats... (Budget: ₹600 - ₹1500 INR, Jobs: Adobe Illustrator, Adobe Photoshop, Design Optimization, Graphic Design, Illustrator, Logo Design, PDF, Photoshop, SVG, Vector Design)