The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit “1” and they all are multiple of 11, is

3 digit numbers less than 500 which are multiple of 11 and not containy the digit ‘1’

{209, 220, 231, 242, . . .  495}-{231, 319, 341, 418, 451}

Required sum

=(209+220+231+ . . .  +495)-(231+319+341+418+451)

$$\begin{gathered} =\frac{27}{2}(209+495)-1760 \\ =9504-1760 \\ =7744 \end{gathered}$$