Hi, my name is James and I would love to have the opportunity to proofread a chapter of your book.
As a native speaker of English, with a BA in the subject from a respectable UK university, I would like to apply for your job. I have relevant experience in proofreading on site (check my profile) and I am looking to build my client base. I am a hard worker and I have a good eye for detail, making me the perfect freelancer for your job.
Due to my experience, I am able to charge lower prices than my competitors as usually the work takes me less time to complete.
Please don't hesitate to contact me.
Kind regards,
James.