ANSWER:

Of course you are sinful and committing a major sin. This is a sign of hypocrisy when you skip fajr like this for worldly matters as you are preferring your studies over paradise and over obeying Allah.

QUESTION: I am student. As a student i always need to study till late night so that i can complete my syllabus. As a result i cannot pray my fazr prayer in time. I pray the fazr prayer after juhur / Asor. Am i sinful? If i am then will Allah forgive me??