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      Question

      If the total cost of 4 chairs and 7 tables is Rs. 410 and

      the total cost of 3 chairs and 5 tables is Rs. 300, then find the cost of 6 chairs.
      A Rs.100 Correct Answer Incorrect Answer
      B Rs.210 Correct Answer Incorrect Answer
      C Rs.280 Correct Answer Incorrect Answer
      D Rs.300 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost of one chair and one table be Rs. x and Rs. y, respectively.

      ATQ;

      4x+7y=410(I)

      3x+5y=300(II)

      Multiply Equation (II) by 7 and Equation (I) by 5, then subtract:

      21x+35y−20x−35y=2100−2050

      x=50

      Cost of 6 chairs = 6×50=300 Rs.

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