To determine the approximate population of the Ottoman Empire when the Mughal Empire in India was founded in 1520, we can refer to the provided table:
[tex]\[
\begin{array}{|c|c|}
\hline
Year & Population \\
\hline
1520 & 11,692,480 \\
\hline
1566 & 15,000,000 \\
\hline
1683 & 30,000,000 \\
\hline
1831 & 7,230,660 \\
\hline
1856 & 35,350,000 \\
\hline
\end{array}
\][/tex]
From this table, it is clear that in the year 1520, the population of the Ottoman Empire was 11,692,480.
Next, we compare this number with the provided approximate options:
- 11 million
- 15 million
- 30 million
- 35 million
The population in 1520 was 11,692,480, which is closest to 11 million.
Therefore, the approximate population of the Ottoman Empire in the year 1520, when the Mughal Empire in India was founded, is 11 million.