A sells an article to $B$ for $Rs.\, 45,000$ 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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