Answer:
(Fatwa: 423/379=D)
Your cousin takes the money from you and invests it in his business in partnership. So, if there is profit he will give it to you and if there is loss then you also will bear the loss as per the percentage of your amount, such a partnership is permissible unless there is no nullifying conditions, and the profit earned through it shall be lawful whether he shows you in government records as partner or not, the partnership however will be valid.
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband
