text: # 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)
explanation: The document is a case study on matrix problems, specifically focusing on a scenario where three schools (DPS, CVC, and KVS) organize a fair to collect money for flood victims by selling handmade fans, mats, and plates. The document contains multiple questions and their corresponding answers, which involve calculating the total money collected by each school, the total amount collected by all schools, and the total number of articles sold.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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)
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a case study on matrix problems, specifically focusing on a scenario where three schools (DPS, CVC, and KVS) organize a fair to collect money for flood victims by selling handmade fans, mats, and plates. The document contains multiple questions and their corresponding answers, which involve calculating the total money collected by each school, the total amount collected by all schools, and the total number of articles sold.
  
  Label: multiple-question-and-answer