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      Question

      If the total cost of 8 cups and 5 plates is Rs. 260 and the

      total cost of 6 cups and 4 plates is Rs. 200, then find the cost of 9 cups.
      A Rs.100 Correct Answer Incorrect Answer
      B Rs.210 Correct Answer Incorrect Answer
      C Rs.180 Correct Answer Incorrect Answer
      D Rs.365 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost of one cup and one plate be Rs. x and Rs. y, respectively.

      ATQ;

      8x+5y=260......(I)

      6x+4y=200......(II)

      Multiply Equation (II) by 5 and Equation (I) by 4, then subtract:

      30x+20y−32x−20y=1000−1040

      −2x=−40

      x=20

      Cost of 9 cups = 9×20=180 Rs.

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