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      Question

      If the total cost of 6 notebooks and 4 pencils is Rs. 240

      and the total cost of 5 notebooks and 3 pencils is Rs. 195, then find the cost of 7 notebooks.
      A Rs.100 Correct Answer Incorrect Answer
      B Rs.210 Correct Answer Incorrect Answer
      C Rs.150 Correct Answer Incorrect Answer
      D Rs.365 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost of one notebook and one pencil be Rs. x and Rs. y, respectively.

      ATQ;

      6x+4y=240.......(I)

      5x+3y=195.......(II)

      Multiply Equation (II) by 4 and Equation (I) by 3, then subtract:

      20x+12yβˆ’18xβˆ’12y=780βˆ’720

      2x=60

      x=30

      Cost of 7 notebooks = 7Γ—30=210 Rs.

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