I got only 59.61 percentile in DILR. But in English and maths, I got 97 and 88 respectively, overall 90.71. Will I get calls from IMI Delhi and XIMB?

If you have an aggregate percentile of above 90%, you can go with IMI Delhi as the marks are not evaluated subject-wise. However at XIMB, they have mentioned that they will have a sectional cut-off, but how much is not specified. So with such a low score in DILR (Data Interpretation & Logical Reasoning), you may miss out.

But before you choose any of the institutes, you should ask yourself, if you put enough effort into quants and DILR while preparing? If the answer is no. Then, it will be better to prepare for another year and aim for a better score.

If you put in the hard work now, you can get into much better B-School like IIMs, SPJ, etc. A better school means more academic pressure, but in the end, you will end up with a better CTC and a reputed company. In corporate life, pressure is not available, so why not aim to do it with a better salary.

If you put in 18 hours of work for 6-7 months, your percentile will definitely improve. And if staying motivated is a challenge for you, you can get a mentor who will push you to do better.

So, although IMI and XIMB are pretty good options, it will be better if you try to better your percentile.