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Gita sells two objects $\text{A}$ and $\text{B}$ at the same price such that she makes a profit of $20 \%$ on object $\text{A}$ and a loss of $10 \%$ on object $\text{B}$. If she increases the selling price such that objects $\text{A}$ and $\text{B}$ are still sold at an equal price and a profit of $10 \%$ is made on object $\text{B}$, then the profit made on object $\text{A}$ will be nearest to

  1. $47 \%$
  2. $49 \%$
  3. $42 \%$
  4. $45 \%$

     

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