$A$ sells an article to $B$ for $₹ 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

  • A
    $\frac{75}{2} \%$
  • B
    $\frac{100}{3} \%$
  • C
    $\frac{200}{9} \%$
  • D
    $\frac{150}{7} \%$

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