The price of Darjeeling Tea (in rupees per kilogram) is \(100 + 0.1n\), on the nth day of a nonleap year \((n = 1, 2, 3, ... 100)\) and then remains constant. On the other hand the price of Ooty tea (in rupees per kilogram) is \(85 + 0.15n\), on the nth day \((n = 1, 2, ..., 365)\). On which date of that year will the prices of these two varieties of the tea be equal?