The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A, B, C and D, in no particular order.
$$\begin{array}{||l|c|c|c|c|}\hline \text{States}&\text{Firm A}&\text{Firm B}&\text{Firm C}&\text{Firm D}\\\hline \text{UP}&49&82&80&55\\\hline \text{Bihar}&69&72&70&65\\\hline \text{MP}&72&63&72&65\\\hline\end{array}$$
Further, it is known that: In the state of MP, Truthful Ltd. has the highest market share. Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. $5$ million.
What can be said regarding the following two statements?
Statement $1$: Profitable Ltd. has the lowest share in MP market.
Statement $2$: Honest Ltd.’s total revenue is more than Profitable Ltd.
- If Statement $1$ is true then Statement $2$ is necessarily true.
- If Statement $1$ is true then Statement $2$ is necessarily false.
- Both Statement $1$ and Statement $2$ are true.
- Neither Statement $1$ nor Statement $2$ is true.