$A$ 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 the marked price.

  • A
    $\frac{1}{9}$
  • B
    $\frac{4}{9}$
  • C
    $\frac{5}{9}$
  • D
    $\frac{7}{9}$

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