Dear Sakshi,
Does the brand name belongs to the same company ? if yes , then show the brand name at the header of the letter and mention the company name somewhere else in the same letter because the idea behind creating a brand name is to make the company popular by way of using the brand name.
For instance:
Fastrack is a brand name which belongs to Titan.
Piyush Raj Verma
Founder & CEO
Yellow Kagaz Business Solutions