Anoop' initiated a Canteen Business by investing Rs. 15,000. 't' months later, 'Arvind' joined him with an investment of Rs. 10,000. After 4 months of joining the business, 'Arvind' augmented his investment by Rs. 2,500. At the end of the year, the profits were distributed between 'Anoop' and 'Arvind' in the ratio of 2:1. Determine the value of 't'.