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But no integer solution exists for this ratio.
But in math olympiad, sometimes such traps.
Or perhaps typo — suppose after 4 leave or different numbers.
But as written, only solution is 22.5 students.
But since its a math problem, and steps are correct, we proceed:
Wait — perhaps the ratio 4:5 is of final? No, says initial.
Perhaps increased by 25% changes, then reduced by 20% — correct.
Perhaps the answer is 22 or 23? But not exact.
Alternatively, lets assume the ratio is exact and solve the equation, accept fractional, but sum is 22.5.
But 10 and 12.5 — perhaps in context, we ignore integer constraint and just compute total: 22.5