Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table.
\begin{array}{|c|c|c|c|}
\hline & \text{Mutual fund A} & \text{Mutual fund B} & \text{Mutual fund C} \\
\hline \text{Person} 1 & 10,000 & 20,000 & 20,000 \\
\hline \text{Person} 2 & 20,000 & 15,000 & 15,000 \\
\hline
\end{array}
At the end of one year, the total amount that Person $1$ gets is ₹$500$ more than Person $2$. The annual rate of return for the mutual funds $\text{B}$ and $\mathrm{C}$ is $15 \%$ each. What is the annual rate of return for the mutual fund $\mathrm{A}$?
- $7.5 \%$
- $10 \%$
- $15 \%$
- $20 \%$