How To Solve This Issue

I don't think that for silly issue as you have mentioned, the MD would refuse your appraisal for 5 months. If it is correct than why don't you buy a pack of new coins which will hardly cost 50 to 100 bucks and get your appraisal done, instead of posting for suggestions. Even I regret to state that we professionals do give a heed to such silly issues from the management/Employees, it would have been far better to work in a lala company with pride than to resolve all this silly issues.
Sorry to state that here the company is obliging the employees by keeping the carom tournament, which a professional should avoid.

Sir,
This is not a silly question.
The problem is the mentality of employees.As one of our friend said your MD is testing your problem solving method.Arranging new coins for tournament is not at all a big cost for the company.
You should formulate rules and regulations and implement it.You have to evaluate the employees mentality and respond according to it.
In this issue,you should allot somebody to issue the coins dully signed by the user.
Wishes.