$A$ trader sells his table at a profit of $15 \%$ and the chair at a loss of $7 \frac{1}{2} \%,$ but on the whole he gains $Rs. 50.$ If he sells the table at a loss of $7 \frac{1}{2} \%,$ and the chair at a profit of $15 \%,$ then he neither gains nor loses. Find the cost price of the table.

  • A
    $\frac{5000}{9}$
  • B
    $\frac{4000}{9}$
  • C
    $\frac{4400}{9}$
  • D
    $\frac{5300}{9}$

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