i am aware about the earlier query you had posted
ignoring that i am replying to your present query since it seems that this time you have been careful about the choice of your words while posting your query
first of all you need to check your employment contract with the government to ascertain the exact kind of restrictions against the employee having his own business
it is only after studying your contract can further advise be feasible to be given
if at all the business is permitted where you invest certain money with 2 persons who will be actively engaged in the business but will share profits with you, then a normal agreement reducing the agreed terms between the parties have to be made on a 100 rs stamp paper and it has to be notorised
as to the kind of t-shirts you wish to sell, if you print provocative images on your t-shirts then not only the buyer but also you as the seller or your organisation which is selling these t-shirts will come in legal trouble if there is any complaint made to that effect for spreading enmity and inducing people into extremism
sleeping partner is the one who is not actively engaged in the day to day affairs of the business being run by the partnership