What are the lowest packages offered in top IIMs, XLRI etc.?

It is difficult to say what is the lowest salary package offered by XLRI as it is not declared officially. It is somewhat around 10 LPA. This statistic is not definite and can vary. 

For IIMs the lowest CTC is lower than XLRI, because of the huge batch size. I personally know few people who got placed with a salary package of 6-7 LPA. 

The tentative lowest CTC offered at different IIMs are -

IIM A, B, & C: 8-10 LPA

IIM L, I, K: 6-8 LPA

Again these are not official data and can vary.