The most common and most likely answer to this crossword clue is the 11 letter word ACCOUNTANCY
I've seen this crossword clue in The Times
A
C
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More clues leading to the result ACCOUNTANCY
Buddy explains!

The straight part
We know that "business course" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case business course = accountancy.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ACCOUNTANCY mean?
ACCOUNTANCY noun- The function of compiling and providing financial information primarily by reports referred to as financial statements, including bookkeeping, systems design, analysis and interpretation of accounting information.
- A company or organisation that performs such a function.