Given below are two statements.
Statement $I$: Pig iron is obtained by heating cast iron with scrap iron.
Statement $II$: Pig iron has a relatively lower carbon content than that of cast iron.
In the light of the above statements,choose the correct answer from the options given below.

• A
  Both Statement $I$ and Statement $II$ are correct.
• B
  Both Statement $I$ and Statement $II$ are not correct.
• C
  Statement $I$ is correct but Statement $II$ is not correct.
• D
  Statement $I$ is not correct but Statement $II$ is correct.