XAT 2023 Percentages — Previous Year Question

The Guava club has won $40\%$ of their football matches in the Apple Cup that they have played so far. If they play another $n$ matches and win all of them, their winning percentage will improve to $50\%$. Further, if they play $15$ more matches and win all of them, their winning percentage will improve from $50\%$ to $60\%$. How many matches has the Guava club played in the Apple Cup so far? In the Apple Cup matches, there are only two possible outcomes, win or loss; draw is not possible.