Akopyan E.

At the beginning of the year, there were 25 students in the 7th grade. After seven new students joined, the percentage of excellent students increased by 10 (if it was $a \%$ at the beginning of the year, it is now $(a+10)\%$). How many excellent students are there in the class now?
Let there be $x$ excellent students in the class, and $y$ more excellent students came. From the condition, we get the equation: ${ }^{x+y} / 32-x / 25=$ 0.1. Eliminating the denominators, we get: $25 y-7 x=80$. Therefore, $7 x=5(5 y-16)$. From this, it is clear that $5 y-16$ is divisible by 7. Therefore, $(5 y-16)+21=5(y+1)$ is also divisible by 7. This means that $y+1$ is a multiple of 7. Since $y \leq 7$, then $y=6$. Thus, $x=10$, and the number of excellent students became 16.

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