If $a_1+a_5+a_{10}+a_{15}+a_{20}+a_{24}=225$, then the sum of the first $24$ terms of the arithmetic progression $a_1, a_2, a_3.....$ is equal to

• A

  $450$
• B

  $675$
• Correct answer
  C

  $900$
• D

  $1200$

Hence, the correct answer is option: 'C'.