The price of Coffee (in rupees per kilogram) is $100 + 0.10n$, on the $n$th day of $2007 \;(n = 1, 2,\dots, 100)$, and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is $89 + 0.15n$, on the $n$th day of $2007\; (n = 1, 2,\dots, 365)$. On which date in $2007$ will the prices of coffee and tea be equal?
- $\text{May 21}$
- $\text{April 11}$
- $\text{May 20}$
- $\text{April 10}$