  We study large deviations of a ratio observable in discrete-time reset
processes. The ratio takes the form of a current divided by the number of reset
steps and as such it is not extensive in time. A large deviation rate function
can be derived for this observable via contraction from the joint probability
density function of current and number of reset steps. The ratio rate function
is differentiable and we argue that its qualitative shape is 'robust', i.e. it
is generic for reset processes regardless of whether they have short- or
long-range correlations. We discuss similarities and differences with the rate
function of the efficiency in stochastic thermodynamics.
