imo class 12 determinants

Ravi bought 3 pens and 2 pencils for ₹19. Priya bought 2 pens and 3 pencils for ₹16. The price of one pen is:

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Ravi bought 3 pens and 2 pencils for ₹19. Priya bought 2 pens and 3 pencils for ₹16. The price of one pen is:

  • A. ₹5
  • B. ₹3
  • C. ₹4
  • D. ₹2

Answer: A) ₹5

Explanation: Let pen=x, pencil=y. 3x+2y=19, 2x+3y=16. Solving: det=9−4=5. Δₓ=57−32=25 → x=5.

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