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?

The price of Darjeeling Tea (in rupees per kilogram) is 100 + 0.1n till 100th day and remains constant

The price of Ooty tea (in rupees per kilogram) is 85 + 0.15n

Price of Darjeeling tea on 100th day = 100 + 0.1(100) = 110

Price of Ooty tea on 100th day = 85 + 0.15(100) = 100

Their prices are not equal

Therefore, 110 = 85 + 0.15n

                      n = $$\frac{500}{3}$$ = 166.67

Price will be equal on 167th day

January(31) + February(28) + March(31) + April(30) + May(31) = 151 days

June 16th is 167th day.

Answer is option B