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Mathematics — CBSE Class 10 board question

Q1. [1]
3 chairs and 1 table cost ₹ 900; whereas 5 chairs and 3 tables cost ₹ 2,100. If the cost of 1 chair is ₹ $x$ and the cost of 1 table is ₹ y, then the situation can be represented algebraically as
  1. A $3x + y = 900$, $3x + 5y = 2100$
  2. B $x + 3y = 900$, $3x + 5y = 2100$
  3. C $3x + y = 900$, $5x + 3y = 2100$
  4. D $x + 3y = 900$, $5x + 3y = 2100$
Previously asked in CBSE board exam
2023 30/6/1 Q13
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer

Option C: $3x + y = 900$, $5x + 3y = 2100$

(3 chairs + 1 table = ₹900 gives $3x + y = 900$; 5 chairs + 3 tables = ₹2100 gives $5x + 3y = 2100$.)

Explanation

Directly translate each statement: coefficient of $x$ = number of chairs, coefficient of $y$ = number of tables. Option C correctly places 3 and 1 in the first equation, and 5 and 3 in the second. Watch out for Option A which swaps the coefficients of $x$ and $y$ in the first equation.

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