Someone bought two houses; after the first one, the annual income was 425 pounds, and the other one brought in 34 pounds more; but the other house was more expensive by $1 / 5$ of the price of the first one and yielded $1 / 2 \%$ less income. The question is, how much did each house cost and what $\%$ of income do they generate?
If one house cost $x$ forints, then the other cost $\frac{6}{5} x$ forints; the first brought $y$ percent profit, the second $\left(y-\frac{1}{2}\right) \%$ profit. Based on this:

$$
\begin{aligned}
x & =\frac{100 \times 425}{y} \\
\frac{6}{5} x & =\frac{100 \times 459}{y-\frac{1}{2}}
\end{aligned}
$$

from which $x=8500$ and $y=5$. Therefore, the price of the first house is 8500 forints, the second is 10200 forints; one brings $5 \%$ profit, the other $4.5 \%$ profit.

(Jenö Fekete, Veszprém.)

Number of solutions: 42.