This PYQ is from

UGC-NET-Paper1

Maths

UGC-NET-Paper1 PYQs

Year-wise PYQs

Section-wise PYQs

Read the Question carefully and choose the correct option.

If the price of 3 kg potatoes and 4 kg tomatoes is Rs. 100 and the price of 4 kg potatoes and 3 kg tomatoes is Rs. 110, then what is the price of tomatoes per kg?

(1) 10
(2) 20
(3) 25
(4) 15

यदि 3 कि.ग्रा. आलू और 4 कि. ग्रा. टमाटर का मूल्य 100 रुपये है और 4 कि. ग्रा. आलू और 3 कि.ग्रा. टमाटर का मूल्य 110 रुपये है, तो टमाटर का प्रति कि.ग्रा. मूल्य कितने रुपये है?

(1) 10
(2) 20
(3) 25
(4) 15

This Question came in

UGC-NET-Hindi-08-January-2025-Shift-1-Q20

UGC-NET Paper 1 Full Course

To-the-point Video Lectures

Topic-wise PYQs

24x7 Doubt Solving

Detailed Explanation & Answer

Let the price of 1 kg potato = x
Let the price of 1 kg tomato = y

Given:
3x + 4y = 100 → (Equation 1)
4x + 3y = 110 → (Equation 2)

Now solve the equations:

Multiply Equation 1 by 4:
12x + 16y = 400 → (Equation 3)

Multiply Equation 2 by 3:
12x + 9y = 330 → (Equation 4)

Now subtract Equation 4 from Equation 3:
(12x + 16y) - (12x + 9y) = 400 - 330
⇒ 7y = 70
⇒ y = 10

So, the price of tomatoes per kg is Rs. 10.

मान लीजिए 1 किलो आलू की कीमत = x
मान लीजिए 1 किलो टमाटर की कीमत = y

दिया गया:
3x + 4y = 100 → (समीकरण 1)
4x + 3y = 110 → (समीकरण 2)

अब समीकरण हल करें:

समीकरण 1 को 4 से गुणा करें:
12x + 16y = 400 → (समीकरण 3)

समीकरण 2 को 3 से गुणा करें:
12x + 9y = 330 → (समीकरण 4)

अब समीकरण 3 से समीकरण 4 घटाएँ:
(12x + 16y) - (12x + 9y) = 400 - 330
⇒ 7y = 70
⇒ y = 10

तो, प्रति किलो टमाटर की कीमत रु. 10.

The Correct Answer is 1

Free PYQ Test Series

Join Telegram for Free PYQ Test Series of UGC-NET-Paper1

Join Telegram