A capital of $4\%$ accrues interest for 2 years and 5 months. How long will it take for this capital to accrue the same amount of interest at $3 \frac{3}{4}\%$?

 untranslated portion:
Valamely tőke $4 \%$ mellett 2 évig és 5 hónapig kamatozik. Mennyi idő alatt hajt e tôke $3 \frac{3}{4} \%$ mellett ugyanannyi kamatot? 

translated portion:
A capital of $4\%$ accrues interest for 2 years and 5 months. How long will it take for this capital to accrue the same amount of interest at $3 \frac{3}{4}\%$?
$$
\frac{t \cdot 4.29}{1200}=\frac{t \cdot 3 \frac{3}{4} \cdot x}{1200}
$$

from which $x=2$ years 6 months 28 days.

The problem was solved by: Bánó L., Felhőssy J., Füstös P., Freund E., Heimlich P., Jánosy Gy., Jurenák L., Kiss J., Klein Gy., Petrik Sarolta, Reich Z., Sárközy E., Szabó J., Schuster Gy., Steiger J.