# Case study Chapter 3 (Matrix )

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

Â  Â  Â  Â  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 â‚¹25, â‚¹ 100 and â‚¹50 each respectively. The number of articles sold are given as.

 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 â‚¹) collected by the school DPS ?

(a) 700Â  Â  Â  Â  Â  Â  Â  Â  Â (b) 7,000

(c) 6,125Â  Â  Â  Â  Â  Â  Â  Â  (d) 7,875

(ii) What is the total amount of money (in â‚¹) collected by schools CVC and KVS ?

(a) â‚¹ 14000Â  Â  Â  Â  Â  Â  Â  (b) â‚¹ 15,725

(c) â‚¹ 21,000Â  Â  Â  Â  Â  Â  Â  (d) â‚¹ 13,125

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

(a) â‚¹ 15,775Â  Â  Â  Â  Â  Â  Â  Â  (b) â‚¹ 14,000

(c) â‚¹ 21,000Â  Â  Â  Â  Â  Â  Â  Â  (d) â‚¹17,125

(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) â‚¹18,000Â  Â  Â  Â  Â  Â  Â  Â  Â (b) â‚¹ 6,7520

(c) â‚¹ 5,000Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  (d) â‚¹21,250

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

(a) 230Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  (b) 130

(c) 430Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  (d) 330

Total money (â‚¹) collected by the school DPS

= 40Ã—25 + 50Ã—100 + 20Ã—50

= 1000 + 5000 + 1000

= â‚¹7,000

Total amount of money collected by CVC and KVS

Total amount of money collected by CVC and KVS

= 6,125 + 7,875

= â‚¹ 14,000

Total amount of money collected by all three schools

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

= â‚¹ 21,000

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

âˆ´ Total money = 75,00 + 6,000 + 7,750

= â‚¹21,250

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)

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

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)