Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.
Each firm raised Rs. $1$ crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. $1$ crore or by Rs. $2$ crores.
The table below provides partial information about the five firms.
\begin{array}{|l|c|c|c||}
\hline \text{Firm} & \text{First year of existence} & \text{Last year of existence} & \text{Total amount raised (Rs. crores)}\\
\hline \text{Alfloo} & 2009 & 2016 & 21 \\
\hline \text{Bzygoo} & 2012 & 2015 & \\
\hline \text{Czechy} & 2013 & & 9 \\
\hline \text{Drjbna} & 2011 & 2015 & 10 \\
\hline \text{Elavalaki} & 2010 & & 13\\
\hline
\end{array}
If Elavalaki raised Rs. $3$ crores in $2013$, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in $2012$?
- $12$
- $9$
- $11$
- $10$