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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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