$A$ manufacturer fixes his selling price at $33 \%$ over the cost of production. If the cost of production goes up by $12 \%$ and the manufacturer raises his selling price by $10 \%$,what is his new percentage profit?

  • A
    $36 \frac{5}{9} \%$
  • B
    $28 \frac{3}{8} \%$
  • C
    $30 \frac{5}{8} \%$
  • D
    $35 \%$

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