Question

Two manufacturers Ram and Shyam manufacture only three wooden items; bed, table and sofa. The sales (in rupees) of these three items by both of manufacturers in month of June and July are given by the following matrices $A$ and $B$ respectively.

Sale in June
$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}A=\left[\begin{array}{ccc}5000& 10000& 15000\\ 25000& 15000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$

Sale in July
$\begin{array}{ccccccc}& & & \text{Bed}& \text{Table}& \text{Sofa}& \end{array}B=\left[\begin{array}{ccc}2500& 5000& 3000\\ 10000& 5000& 5000\end{array}\right]\begin{array}{c}\text{Ram}\\ \text{Shyam}\end{array}$

If Ram receives $1\%$ profit on gross sales, then profit of Ram for sofa sold in July is

[1 mark]

• A. Rs. $50$
• B. Rs. $25$
• C. Rs. $150$
• D. Rs. $30$

Answer 1

The correct option is D Rs. $30$

Profit of Ram for sofa sold in July
$=\frac{1}{100}\times 3000$
$=$ Rs. $30$