If MANGO is coded as 80415, then which of the following has the numerical code 81504?

From the given word MANGO and its code 80415, we can map each letter to its respective digit:
$\text{M}\to 8$
$\text{A}\to 0$
$\text{N}\to 4$
$\text{G}\to 1$
$\text{O}\to 5$

Now, decoded letters for the numerical code 81504 are:
$8\to \text{M}$
$1\to \text{G}$
$5\to \text{O}$
$0\to \text{A}$
$4\to \text{N}$

Therefore, the word is MGOAN.