imo class 12 determinants

A shopkeeper sells 2 kg sugar and 3 kg rice for ₹130, and 3 kg sugar and 2 kg rice for ₹120. The price of 1 kg rice is:

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A shopkeeper sells 2 kg sugar and 3 kg rice for ₹130, and 3 kg sugar and 2 kg rice for ₹120. The price of 1 kg rice is:

  • A. ₹30
  • B. ₹20
  • C. ₹25
  • D. ₹35

Answer: A) ₹30

Explanation: Let sugar=x, rice=y. 2x+3y=130, 3x+2y=120. Δ=4−9=−5. Δ_y = 2·120−3·130 = 240−390 = −150. y = −150/−5=30.

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