Let $d_1, d_2, d_3, \cdots, d_r$ be all the positive divisors of $n$. If $d_1+d_2+\cdots+d_r=1000$, then
$\frac{1}{d_1}+\frac{1}{d_2}+\cdots+\frac{1}{d_r}$
equals

• Correct answer
  A

  $\frac{1000}{n}$
• B

  $\frac{r^2}{1000}$
• C

  $\frac{1000}{n^2}$
• D

  $\frac{1000}{r^2}$

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