A shopkeeper sold an item at $10 \%$ loss after giving a discount equal to half the marked price. The cost price of the item is......... of marked price

  • A

    $\frac{1}{9}$

  • B

    $\frac{4}{9}$

  • C

    $\frac{5}{9}$

  • D

    $\frac{7}{9}$

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