Question 7 - Case Based Questions (MCQ) - Chapter 3 Class 12 Matrices

Last updated at April 16, 2024 by Teachoo

Question

Three schools SNT, SNP and TKM organised a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand-made fans, mats and plates from recycled material at a cost of ₹ 25, ₹ 100 and ₹ 50 each. The number of articles sold are given below.

Question 1

Funds collected by SNT is _______.

(a) Rs. 7000

(b) Rs. 6125

(c) Rs. 7875

(d) Rs. 21000

Question 2

Funds collected by SNP is _______.

(a) Rs. 7000

(b) Rs. 6125

(c) Rs. 7875

(d) Rs. 21000

Question 3

The total fund raised by all the three schools together is _______.

(a) Rs. 7000

(b) Rs. 6125

(c) Rs. 7875

(d) Rs. 21000

Question 4

The total fund raised by selling fans is _______.

(a) Rs. 4000

(b) Rs. 2000

(c) Rs. 2500

(d) Rs. 35000

Question 5

TKM collected Rs _______ by selling plates.

(a) Rs. 4000

(b) Rs. 2000

(c) Rs. 2500

(d) Rs. 35000

Transcript

Question Three schools SNT, SNP and TKM organised a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand-made fans, mats and plates from recycled material at a cost of ₹ 25, ₹ 100 and ₹ 50 each. The number of articles sold are given below.
Question 1 Funds collected by SNT is _______. (a) Rs. 7000 (b) Rs. 6125 (c) Rs. 7875 (d) Rs. 21000
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 SNT = Rs 7,000
So, the correct answer is (a)
Question 2 Funds collected by SNP is _______. (a) Rs. 7000 (b) Rs. 6125 (c) Rs. 7875 (d) Rs. 21000
Total Revenue = [■8(𝟕𝟎𝟎𝟎&𝟔𝟏𝟐𝟓&𝟓𝟖𝟕𝟓)]
Thus,
Fund raised by SNP = Rs. 6125
So, the correct answer is (B)
Question 3 The total fund raised by all the three schools together is _______. (a) Rs. 7000 (b) Rs. 6125 (c) Rs. 7875 (d) Rs. 21000
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 (d)
Question 4 The total fund raised by selling fans is _______. (a) Rs. 4000 (b) Rs. 2000 (c) Rs. 2500 (d) Rs. 35000
Fund raised by selling fans
= Total fans × Cost of selling fan
= (40 + 25 + 35) × Rs 25
= 100 × 25
= Rs. 2500
So, the correct answer is (C)
Question 5 TKM collected Rs _______ by selling plates. (a) Rs. 4000 (b) Rs. 2000 (c) Rs. 2500 (d) Rs. 35000
Fund raised by TKM for selling plates
= Total plates sold by TKM × Cost of selling plates
= 40 × Rs 50
= Rs. 2000
So, the correct answer is (b)

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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