Approach 1: Logic
The first number which satisfies this is 502. The next number will be 511 and so on. The terms will fall in an Arithmetic Progression with common difference = 9. Last term = 1492.
Number of terms $=\frac{990}{9}+1=111.$
Approach 2: Shortcut in a Shortcut!
Digit sum of numbers will fall in an Arithmetic Progression with a common difference of 9. Thus, there can be $\frac{1500-500}{9}=111$ or 112 such numbers.
Since only 111 is there in the answer options, you can mark it directly.