Case study problem matrix 3 chapter 3 class 12

Case study Chapter 3 (Matrix )

Case study 3:- Read the following and answer the question:(Case study problem matrix 3)

        Three schools DPS, CVC and KVS decided to organize a fair for collecting money for helping the flood victims. They sold Handmade fans, Mats and plates from recycled material at a cost of ₹25, ₹ 100 and ₹50 each respectively. The number of articles sold are given as.

Case study problem matrix 3
Three schools DPS, CVC and KVS decided to organize a fair for collecting money

 

School/article

DPS CVC KVS

Handmade fans

40 25 35

Mats

50 40

50

Plates

20 30

40

(i) What is the total money (in ₹) collected by the school DPS ?

(a) 700                 (b) 7,000

(c) 6,125                (d) 7,875

(ii) What is the total amount of money (in Rs) collected by schools CVC and KVS ?

(a) Rs 14000              (b) Rs 15,725

(c) Rs 21,000              (d) Rs 13,125

(iii) What is the total amount of money collected by all three schools DPS, CVC and KVS ?

(a) Rs 15,775                (b) Rs 14,000

(c) Rs 21,000                (d) Rs 17,125

(iv) If the number of Handmade fans and Plates are interchanged for all the schools, then what is the total money collected by all school ?

(a) Rs18,000                 (b) Rs 6,7520

(c) Rs 5,000                    (d) Rs 21,250

(v) How many articles (in Total) are sold by three schools ?

(a) 230                            (b) 130

(c) 430                              (d) 330

Solution:(i) Answer (b)

Total money (Rs) collected by the school DPS

= \begin{bmatrix} 40 &  50 & 20\end{bmatrix}\begin{bmatrix} 25 \\ 100 \\50\end{bmatrix}

= 40×25 + 50×100 + 20×50

= 1000 + 5000 + 1000

= Rs 7,000

(ii) Answer (a)

Total amount of money collected by CVC and KVS

= \begin{bmatrix} 25 &  40 & 30 \\ 35 & 50 & 40\end{bmatrix}\begin{bmatrix} 25 \\ 100 \\ 50\end{bmatrix}

= \begin{bmatrix} 25\times 25 &  40\times 100 & 30\times 50 \\ 35\times 25 & 50\times 100 & 40\times 50\end{bmatrix}

=\begin{bmatrix} 6,125 \\ 7,875\end{bmatrix}

Total amount of money collected by CVC and KVS

= 6,125 + 7,875

= Rs 14,000

(iii) Answer (c)

Total amount of money collected by all three schools

= 7,000 + 6,125 + 7,875

= Rs 21,000

(iv) Answer (d)

After interchanging the number of Handmade fans and Plates,

We have

School/article

DPS CVC KVS

Handmade fans

20 30 40

Mats

50 40

50

Plates

40 25

35

Amount of collected by all schools

= \begin{bmatrix} 20 &  50 & 40 \\ 30 & 40 & 25\\40 & 50 & 35\end{bmatrix}\begin{bmatrix} 25 \\ 100 \\ 50\end{bmatrix}

= \begin{bmatrix} 20\times 25 + 50\times 100+40\times 50  \\ 30\times 25 + 40\times 100+25\times 50 \\40\times 25 + 50\times 100+35\times 50 \end{bmatrix}

= \begin{bmatrix} 75,00 \\ 6,000 \\ 7,750\end{bmatrix}

∴ Total money = 75,00 + 6,000 + 7,750

= Rs 21,250

(v) Answer (d)

Total number of articles sold by three schools

= ( 40 + 25 + 35) + (50 +40 + 50) + (20 + 30 + 40)

= 100 + 140 + 90 = 330


Case study 1:- Read the following and answer the question(Case study problem matrix 1)

   A manufacturer produces three stationery products Pencil, Eraser and Sharpner which he sells in two markets. Annual sales are indicated below

Case study problem matrix 1
A manufacturer produces three stationery products Pencil, Eraser

Solution: For solution click here

Case study 2:- Amit, Biraj and chirag were giventhe task of creating a square matrix of order 2. Below are the matrices created by them. A, B, C are the matrices created by Amit, Biraj and Chirag respectively.(Case study problem matrix 2)

Case study problem matrix 2
Amit, Biraj and chirag were giventhe task of creating a square matrix of order 2

Solution: For solution click here

 


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