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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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