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
| |
Mutual fund A |
Mutual fund B |
Mutual fund C |
| Person 1 |
$10,000$ |
$20,000$ |
$20,000$ |
| Person 2 |
$20,000$ |
$15,000$ |
$15,000$ |
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 $\mathrm{A}$ ?
- $7.5 \%$
- $10 \%$
- $15\%$
- $20\%$