For the 2002 tax declaration, those whose annual gross income exceeded 1,050,000 forints had to pay, in addition to 40% of the excess, 267,000 forints as tax. What was the monthly gross income if the income tax was 30% of the income?
Let $x$ be the annual gross income. Then the tax to be paid is:

$$
(x-1050000) \cdot 0.4+267000
$$

If this is equal to 30% of the gross income, then

$$
(x-1050000) \cdot 0.4+267000=0.3 \cdot x
$$

From this, we get that $x=1530000$ is the annual income. The monthly income is therefore $127500 \mathrm{Ft}$.