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    Six tables and twelve chairs are bought for Rs 7,800. If the average cost of a table is Rs 750, what is the average cost of a chair?
    Question

    Six tables and twelve chairs are bought for Rs 7,800. If the average cost of a table is Rs 750, what is the average cost of a chair?

    A.

    Rs. 275

    B.

    Rs. 175

    C.

    Rs. 150

    D.

    Rs. 250

    Correct option is A

    Given:

    Six tables and twelve chairs are bought for Rs 7,800.

    If the average cost of a table is Rs 750.

    Formula used:

    Average=Sum of all observationsNumber of observations\text{Average} = \frac{\text{Sum of all observations}}{\text{Number of observations}}

    Solution:

    The average cost of one table is Rs. 750,

    The total cost of six tables = 6 × 750 = 4500

    The total cost of tables and chairs is Rs. 7,800.

    The total cost of twelve chairs = 7800 − 4500

    The total cost of twelve chairs = 3300

    ​The average cost of one chair = 330012=275\frac{3300}{12} = 275

    So, the average cost of a chair is Rs. 275.

    Thus, the correct answer is (a).

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