The bookshop of a particular school has 10 do | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The bookshop has $10$ dozen chemistry books,$8$ dozen physics books,and $10$ dozen economics books. Since $1$ dozen $= 12$ books,the total number

Vedclass · Accepted Answer

$20160$

Vedclass · Answer

(B) The bookshop has $10$ dozen chemistry books,$8$ dozen physics books,and $10$ dozen economics books. Since $1$ dozen $= 12$ books,the total number of books are $120$ chemistry books,$96$ physics books,and $120$ economics books.The selling prices of a chemistry book,a physics book,and an economics book are Rs. $80$,Rs. $60$,and Rs. $40$ respectively.Representing the quantity as a row matrix $A$ and the price as a column matrix $B$:$A = [120 \quad 96 \quad 120]$$B = \begin{bmatrix} 80 \ 60 \ 40 \end{bmatrix}$The total amount is given by the product $AB$:$Total = [120 \quad 96 \quad 120] \begin{bmatrix} 80 \ 60 \ 40 \end{bmatrix}$$= (120 	imes 80) + (96 	imes 60) + (120 	imes 40)$$= 9600 + 5760 + 4800$$= 20160$Thus,the bookshop will receive Rs. $20160$ from the sale of all these books.

The bookshop of a particular school has $10$ dozen chemistry books,$8$ dozen physics books,and $10$ dozen economics books. Their selling prices are Rs. $80$,Rs. $60$,and Rs. $40$ each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

Similar Questions

If the system of equations $x + y + z = 6$,$x + 2y + 3z = 10$,and $x + 2y + \lambda z = 0$ has a unique solution,then $\lambda$ is not equal to:

The values of $p$ and $q$ so that the system of equations $2x + py + 6z = 8$,$x + 2y + qz = 5$ and $x + y + 3z = 4$ may have no solution are

The system of equations $\begin{cases} \lambda x+y+3 z=0 \\ 2 x+\mu y-z=0 \\ 5 x+7 y+z=0 \end{cases}$ has infinitely many solutions in $\mathbb{R}$. Then,

The system of linear equations $3x - 2y - kz = 10$,$2x - 4y - 2z = 6$,and $x + 2y - z = 5m$ is inconsistent if

For the system of equations $x+y+z=6$,$x+2y+\alpha z=10$,and $x+3y+5z=\beta$,which one of the following is $NOT$ true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module