Question

Ram purchases 3 pens, 2 bags, and 1 instrument box and pays ₹ 41. From the same shop,

Dheeraj purchases 2 pens, 1 bag, and 2 instrument boxes and pays ₹29, while Ankur

purchases 2 pens, 2 bags, and 2 instrument boxes and pays ₹44.

 

Read the above information and answer the following questions:

i. Find the cost of one pen.

a. ₹ 2       b. ₹ 5         c. ₹ 10        d. ₹15

ii. What are the cost of one pen and one bag?

a. ₹ 12     b. ₹ 15        c. ₹ 17          d. ₹25

iii. What is the cost of one pen & one instrument box?

a. ₹ 7          b. ₹ 12         c. ₹ 17        d. ₹25

iv. What is the cost of one bag & one instrument box?

a. ₹ 20         b. ₹ 25        c. ₹ 10        d. ₹15

v. Find the cost of one pen, one bag, and one instrument box.

a. ₹ 22         b. ₹ 25       c. ₹ 20       d. ₹24​

Answer 1

SOLUTION

TO DETERMINE

Ram purchases 3 pens, 2 bags, and 1 instrument box and pays ₹ 41. From the same shop,

Dheeraj purchases 2 pens, 1 bag, and 2 instrument boxes and pays ₹29, while Ankur

purchases 2 pens, 2 bags, and 2 instrument boxes and pays ₹44.

Read the above information and answer the following questions:

i. Find the cost of one pen.

a. ₹ 2       b. ₹ 5         c. ₹ 10        d. ₹15

ii. What are the cost of one pen and one bag?

a. ₹ 12     b. ₹ 15        c. ₹ 17          d. ₹25

iii. What is the cost of one pen & one instrument box?

a. ₹ 7          b. ₹ 12         c. ₹ 17        d. ₹25

iv. What is the cost of one bag & one instrument box?

a. ₹ 20         b. ₹ 25        c. ₹ 10        d. ₹15

v. Find the cost of one pen, one bag, and one instrument box.

a. ₹ 22         b. ₹ 25       c. ₹ 20       d. ₹24

EVALUATION

Let the price of of 1 pen , 1 bag , and 1 instrument box is

₹ x , ₹ y , ₹ z respectively

So by the given conditions

3x + 2y + z = 41 - - - - - - (1)

2x + y + 2z = 29 - - - - - - (2)

2x + 2y + 2z = 44 - - - - - - (3)

Equation 3 - Equation 2 gives

y = 15

From Equation 3 we get

2x + 2z = 14

$\implies \sf{x + z = 7} \: \: \: - - - (4)$

From Equation 1

3x + z = 11 - - - - - - - (5)

Equation 5 - Equation 4 gives

2x = 4

$\sf{ \implies \: x = 2}$

From Equation 5 we get z = 5

Hence x = 2 , y = 15 , z = 5

Therefore

i. The cost of one pen

a. ₹ 2   

ii. The cost of one pen and one bag

c. ₹ 17       

iii. The cost of one pen & one instrument box

a. ₹ 7       

iv. The cost of one bag & one instrument box

a. ₹ 20   

v. The cost of one pen, one bag, and one instrument box.

a. ₹ 22

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Answer 2

Answer:

1)a. rupees 2

2)c. rupees 17

3)a. rupees 7

4)a. rupees 20

5)a. rupees 22

Step-by-step explanation:

its done by using matrix method.

where three equations can be derived from question.

3x+2y+z = 41

2x+y+2z = 29

2x+2y+2z = 44

therefor you get for:

pen(x) = rupees 2

bag(y) = rupees 15

instrument box(z) = rupees 5

hope it helped.