Let the total sum of money be \( x \).
According to the problem, 55% of \( x \) equals Rs. 1.1. We can write this as an equation:
\[ 0.55x = 1.1 \]
To find \( x \), divide both sides of the equation by 0.55:
\[ x = \frac{1.1}{0.55} \]
Calculating the right side:
\[ x = 2 \]
Thus, the total sum of money is Rs. 2.