Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

$5$ pencils and $7$ pens together cost Rs. $50$ , whereas $7$ pencils and $5$ pens together cost Rs. $46$ . Find the cost of one pencil and that of one pen by graphical method.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Cost of one pencil

=

Rs.

2

and that of one pen

=

Rs.

4

Cost of one pencil

=

Rs.

3

and that of one pen

=

Rs.

5

Cost of one pencil

=

Rs.

5

and that of one pen

=

Rs.

6

Cost of one pencil

=

Rs.

2

and that of one pen

=

Rs.

6

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given a pencil and pen.
Let cost of pencil be Rs.

x

and cost of pens be Rs.

y

5

pencils and

7

pens together cost Rs.

50

,
So we get,

5 x + 7 y = 50

5 x = 50 - 7 y

x = 10 - \frac{7}{5} y

Let’s take

y = 5

x = 10 - \frac{7}{5} y

x = 10 - 7

x = 3

Let’s take

y = 10

x = 10 - \frac{7}{5} y

x = 10 - 14

x = - 4

Therefore, the required points are

(3, 5), (- 4, 10)

.
Also, given that

7

pencils and

5

pens together cost Rs.

46

7 x + 5 y = 46

5 y = 46 - 7 x

y = 9.2 - 1.4 x

Let’s take

x = 0

y = 9.2 - 0

y = 9.2

Let’s take

x = 2

y = 9.2 - 2.8

y = 6.4

Therefore, the required points are

(0, 9.2), (2, 6.4)

.
The graph is as shown below:
Question Image

Since the point of intersection is

(3, 5),

thus the cost of one pencil is Rs.

3

and the cost of one pen is Rs.

5

.
Therefore, option (2) is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

5 pencils and 7 pens together cost Rs. 50, whereas 7 pencils and 5 pens together cost Rs. 46. Find the cost of one pencil and that of one pen by graphical method.

Start JEE / NEET / Foundation preparation at rupees 99/day !!

Detailed Solution

Get Expert Academic Guidance – Connect with a Counselor Today!

$5$ pencils and $7$ pens together cost Rs. $50$ , whereas $7$ pencils and $5$ pens together cost Rs. $46$ . Find the cost of one pencil and that of one pen by graphical method.