Question 3 - Case Based Questions (MCQ) - Chapter 3 Class 12 Matrices

Last updated at April 16, 2024 by Teachoo

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 Rs. 25, Rs.100 and Rs. 50 each respectively. The numbers of articles sold are given as

School /Article

DPS

CVC

KVS

Handmade fans

40

25

35

Mats

50

40

50

Plates

20

30

40

Based on the information given above, and the following questions:

Question 1

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

(a) 700
(b) 7,000
(c) 6,125
(d) 7,875

Question 2

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

(a) 14,000
(b) 15,725
(c) 21,000
(d) 13,125

Question 3

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

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

(a) 230
(b) 130
(c) 430
(d) 330

Transcript

Question 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 Rs. 25, Rs.100 and Rs. 50 each respectively. The numbers of articles sold are given as Based on the information given above, and the following questions:
Question 1 What is the total money (in Rupees) collected by the school DPS? (a) 700 (b) 7,000 (c) 6,125 (d) 7,875
Let the number of articles sold be denoted by matrix X
X = [■8(40& 25& 35@50& 40& 50@20& 30& 40)]
Let the sale price of articles be denoted by matrix Y
Let Y = [■8(25& 100& 50)]
Now,
Total Revenue = Sales price × Total sales
= YX
= [■8(25&100&50)]_(1×3) [■8(40& 25& 35@50& 40& 50@20& 30& 40)]_(3×3)
= [■8(25(40)+100(50)+50(20)&25(25)+100(40)+50(30)&25(35)+100(50)+50(40))]_(1×3)
= [■8(1000+5000+1000&625+4000+1500&875+5000+2000)]
= [■8(𝟕𝟎𝟎𝟎&𝟔𝟏𝟐𝟓&𝟓𝟖𝟕𝟓)]
∴ Total amount collected by DPS = Rs 7,000
So, the correct answer is (b)
Question 2 What is the total amount of money (in Rs.) collected by schools CVC and KVS? (a) 14,000 (b) 15,725 (c) 21,000 (d) 13,125
Now,
Total Revenue = [■8(7000&6125&5875)]
Thus,
Total Amount collected by CVC & KVS = Rs 6125 + Rs 5875
= Rs 14,000
So, the correct answer is (a)
Question 3 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
Now,
Total Revenue = [■8(7000&6125&5875)]
Thus,
Total Amount collected by all 3 schools = Rs 7000 + 6125 + 5875
= Rs 21,000
So, the correct answer is (c)
Question 4 If the number of handmade fans and plates are interchanged for all the schools, then what is the total money collected by all schools? (a) Rs. 18,000 (b) Rs. 6,750 (c) Rs. 5,000 (d) Rs. 21,250
If the number of handmade fans and plates are interchanged for all the schools, then our table will look like
Let our new matrix be A
A = [■8(20& 30& 40@50& 40& 50@40& 25& 35)]
An, our sale price of articles is denoted by matrix Y
Let Y = [■8(25& 100& 50)]
Now,
Total Revenue = Sales price × Total sales
= YA
= [■8(25&100&50)]_(1×3) 〖[■8(20& 30& 40@50& 40& 50@40& 25& 35)] " " 〗_(3×3)
= [■8(25(20)+100(50)+50(40)&25(30)+100(40)+50(25)&25(40)+100(50)+50(35))]_(1×3)
= [■8(500+5000+2000&750+4000+1250&1000+5000+1750)]
= [■8(𝟕𝟓𝟎𝟎&𝟔𝟎𝟎𝟎&𝟕𝟕𝟓𝟎)]
Thus,
Total Amount collected by all 3 schools = Rs 7500 + 6000 + 7750
= Rs 21,250
So, the correct answer is (d)
Question 5 How many articles (in total) are sold by three schools? (a) 230 (b) 130 (c) 430 (d) 330
Now,
Total Articles sold = (40 + 25 + 35) + (50 + 40 + 50) + (20 + 30 + 40)
= 100 + 140 + 90
= 330
So, the correct answer is (d)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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