Question

Two farmers Ramkrishnan and Gurcharan Singh cultivates only three varieties of rice namely Basmathi, Permal and Naura. The sale (in Rupees ) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices $A$ and $B.$

September Sales (in Rupees)
Basmathi Permal Naura
$A=\left[\begin{array}{ccc}10,000& 20,000& 30,000\\ 50,000& 30,000& 10,000\end{array}\right]=\left[\begin{array}{c}\text{Ramakrishnan}\\ \text{Gurucharan Singh}\end{array}\right]$

October Sales (in Rupees)
Basmathi Permal Naura
$B=\left[\begin{array}{ccc}5000& 10,000& 6000\\ 20,000& 10,000& 10,000\end{array}\right]=\left[\begin{array}{c}\text{Ramakrishnan}\\ \text{Gurucharan Singh}\end{array}\right]$
The combined sales in September and October for each farmer in each variety is

• A. $\left[\begin{array}{ccc}36,000& 30,000& 36,000\\ 70,000& 40,000& 20,000\end{array}\right]$
• B. $\left[\begin{array}{ccc}15,000& 30,000& 36,000\\ 35,000& 40,000& 20,000\end{array}\right]$
• C. $\left[\begin{array}{ccc}15,000& 30,000& 36,000\\ 70,000& 40,000& 20,000\end{array}\right]$
• D. $\left[\begin{array}{ccc}35,000& 40,000& 360,00\\ 70,000& 20,000& 20,000\end{array}\right]$

Answer 1

The correct option is C $\left[\begin{array}{ccc}15,000& 30,000& 36,000\\ 70,000& 40,000& 20,000\end{array}\right]$

Combined sales in September and October for each farmer in each variety is given by
Basmathi Permal Naura

$A+B=\left[\begin{array}{ccc}15,000& 30,000& 36,000\\ 70,000& 40,000& 20,000\end{array}\right]=\left[\begin{array}{c}\text{Ramakrishnan}\\ \text{Gurucharan Singh}\end{array}\right]$