In these few days, I am thinking about how much additional revenue could be received by the government after adding the VAT. Any chance there is an additional expense if there is a significant % of private school students shift to state schools.
Then I make the following calculation:
Let N - Number of UK students included now studying at state or independent schools. This means 0.93N is the number of students now in state schools; 0.07N is the number of students in independent schools
S - average cost per pupil spent by the government. £4,679 in primary and £5,992 in secondary. So overall average £5,336
T - average cost of private education per education i.e. £18,000 (day school)
X - be the % of students shifted from independent to state schools after VAT is added
VAT received = (7 - X)% T (20%) N
Government additional expense because of more state school students = X%NS
Net Income Received = VAT received - Additional expense
= (7 - X)% T (20%) N - X%NS
= (7 - X)%(18000)(20%)N - X%N(5336)
= N%(25200 - 8936X)
The breakeven point of X is 2.82
This means out of the 7% UK students now studying in private schools. If less than 2.82% (around 2 out of 5) go to state schools, government would generate additional net income, otherwise if X is more than 2.82, then government has to pay more after this policy