Question
Download Solution PDFThe cost of two pencils and three erasers is ₹ 18 whereas the cost of one pencil and two erasers is ₹11. The cost of each pencil is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of 2 pencils + 3 erasers = ₹18
Cost of 1 pencil + 2 erasers = ₹11
Formula used:
Let cost of 1 pencil = ₹x and cost of 1 eraser = ₹y.
Then, equations are:
2x + 3y = 18
x + 2y = 11
Calculation:
From x + 2y = 11:
⇒ x = 11 - 2y
Substitute x = 11 - 2y into 2x + 3y = 18:
⇒ 2(11 - 2y) + 3y = 18
⇒ 22 - 4y + 3y = 18
⇒ 22 - y = 18
⇒ y = 4
Substitute y = 4 into x = 11 - 2y:
⇒ x = 11 - 2×4
⇒ x = 11 - 8
⇒ x = 3
∴ The cost of each pencil is ₹3.
The correct answer is option (3).
Last updated on Jun 5, 2025
-> The BSSC Group D Written Test Response Sheet has been released at the official portal.
-> The examination was conducted on 11th May 2025.
-> The selection will be based on the performance of Written Test and Document Verification.