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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 $\mathrm{A}$ ?

  1. $7.5 \%$
  2. $10 \%$
  3. $15\%$
  4. $20\%$

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