Getting retirement benefits

This is with limited understanding of the matter from the brief you have posted.

You have posted that;

“High Court given the judgment “promotions should be given based on the seniority and who passed department exam”. 

How can the employees that have already retired be allowed to take the dept. exams, now?

It shall be certainly appropriate to approach the lawyer(s) that has counseled you in case decided by HC and in Tribunal with all papers.

To get the promotions, department has been considered both Seniority as well as who passed the department exam. My relative passed the department exam before finalizing the promotion list and he is eligible for promotion. My relative retired last month. Currently In the tribunal court judgment is reserved. My question is once the judgment is released from tribunal court if he files a case in the court can be eligible to get the retirement/Pension benefits?

As per extract of the HC order posted by you there should be some hope.

It seems the Dept. of the Govt., only delayed.

You may go for considered opinion of a lawyer that has examined all documents, rules, judgments, precedence in such matters, and proceed further after the merits have been examined. 

Mr Sandeep Please understand that you do not know the facts.

It is impossible to believe that pension can be linked to promotion unless there are some more facts which you either do not know or do not want to share

It also difficult to appreciate why the case was and what was the outcome.  You do not know what were RR of the post, what pension rules apply and what was the court case.

You also do not know whether this e3xam was qualifying or competitive.  It appears it was qualifying and your relative failed to qualify within service.  Now he has missed the bus.