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    18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?
    Question

    18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?

    A.

    ₹7,295

    B.

    ₹7,298

    C.

    ₹7,300

    D.

    ₹7,296

    Correct option is C

    Given:

    The cost of 18 chairs and 4 tables = ₹7,100

    The cost of 18 chairs and 7 tables = ₹7,700

    Solution:

    Let the cost of one chair be C and the cost of one table be T

    From the condition;

    18C + 4T = 7100........(1)

    18C + 7T = 7,700........(2)

    Subtract equation 1 from equation 2:

    we get , 3T = 600 

    so, T = 200 

    Substituting T = 200 into equation 1;

    18C + 4(200) = 7,100

    18C + 800 = 7,100

    18C = 7,100 - 800 = 6,300

    C  = 6,30018\frac{6,300}{18}​ = 350

    Now, cost of 18 chairs and 5 tables:

    18C + 5T = 18(350) + 5(200) = 6,300 + 1,000 = 7,300

    The cost of 18 chairs and 5 tables is ₹7,300

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