The most common and most likely answer to this crossword clue is the 4 letter word MOST
I've seen this crossword clue in Financial Times
M
O
S
T
Buddy explains!

The straight part
We know that "Majority" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case majority = most.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 MOST mean?
MOST noun- The greatest amount.
- The greater part.
- A record-setting amount.
- Forms the superlative of many adjectives.
- To a great extent or degree; highly; very.
- Superlative of many
- Superlative of much
- The greater part of a group, especially a group of people.
- Almost.