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CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Q325 Marksmatrix_linear_systems

CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Question 32 (Matrices)

One art, story and puzzle book each cost ₹21 in total. Four art, three story and two puzzle books cost ₹60. Six art, two story and three puzzle books cost ₹70. Use matrices to find each price.

✅ Step-by-Step Solution

Final Answer: Art ₹5, story ₹8, puzzle ₹8.
  1. Use augmented rows (1,1,1 | 21),(4,3,2 | 60),(6,2,3 | 70).
  2. Subtract twice row 1 from row 2 and three times row 1 from row 3, giving 2a+s=18 and 3a−s=7.
  3. Add to obtain a=5, then substitute to get s=8 and p=8.

📋 CBSE Stepwise Marking Scheme

  • [1 mark] Use augmented rows (1,1,1 | 21),(4,3,2 | 60),(6,2,3 | 70).
  • [3 marks] Subtract twice row 1 from row 2 and three times row 1 from row 3, giving 2a+s=18 and 3a−s=7.
  • [1 mark] Add to obtain a=5, then substitute to get s=8 and p=8.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/5/3

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