If the $10^{\text {th }}$ term of an A.P. is $\frac{1}{20}$ and its $20^{\text {th }}$ term is $\frac{1}{10},$ then the sum of its first $200$ terms is

  • [JEE MAIN 2020]
  • A

    $50 \frac{1}{4}$

  • B

    $100 \frac{1}{2}$

  • C

    $50$

  • D

    $100$

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