  We report a pile-up rejection technique based on X-ray absorption concept of
Beer-Lambert law for measuring true events in the pile-up region. We have
detected a 10^4 times weaker peak in the pile-up region. This technique also
enables one to resolve the weak peaks adjacent to an intense peak provided the
later lies in the lower energy side, and the peaks are at least theoretically
resolvable by the detector used. We have resolved such peaks by reducing the
intensity ratios in our experiment. The technique allows us to obtain the
actual intensities of the observed peaks to have been measured without any
attenuator. The possible applications of this technique can be to study the
physics of two electron one-photon transition as well as the properties of
projectile-like or target-like ions
