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

School /Article	DPS	CVC	KVS
Handmade fans	40	25	35
Mats	50	40	50
Plates	20	30	40

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

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

a. 700

b. 7,000

c. 6;125

d. 7875

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

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

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. 6,75

c. Rs. 5,000

d. Rs. 21,250

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

a. 230

b. 130

c. 430

d. 330

Answer 1

1. (b) 7000

Let the number of articles sold be denoted by matrix X

Let the sale price of articles be denoted by matrix Y

Now,

Total Revenue = Sales price x Total sales 

= YX

∴ Total amount collected by DPS = RS 7,000

2. (a) 14000

Now,

Thus,

Total Amount Collected by CVC & KVS = Rs 6125 + Rs 5875

= Rs 14,000

3. (c) Rs.21000

Now,

Thus,

Total Amount Collected by all 3 schools = Rs 7000 + 6125 + 5875

= Rs 21,000

4. (d) 21250

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

An, our sale price of articles is denoted by matrix Y

Now,

Total Revenue = Sales price x Total sales

= YA

Thus,

Total Amount collected by all 3 schools = Rs 7500 + 6000 + 7750 

= Rs 21,250

5. (d) 330

Now,

Total Articles sold = (40 + 25 + 35) + (50 + 40 + 50) + (20 + 30 + 40) 

= 100 + 140 + 90

= 330

Answer 2

1. (b) 7000

2. (a) 14000

3. (c) Rs.21000

4. (d) 21250

5. (d) 330