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    The pie chart given below shows the number of keys manufactured by 5 machines. The data is presented in the terms of degrees. Average number of keys
    Question

    The pie chart given below shows the number of keys manufactured by 5 machines.
    The data is presented in the terms of degrees. Average number of keys manufactured by M3 and M5 = 1500.

    What are the total number of keys manufactured by the given 5 machines?

    A.

    4800

    B.

    6000

    C.

    8400

    D.

    7200

    Correct option is D

    Given:
    Average number of keys manufactured by M3 and M5 = 1500
    Total angle of a pie chart = 360 degrees
    Solution:
    First, calculate the total number of keys manufactured by M3 and M5 together.
    Total keys of M3 and M5 = 1500 × 2 = 3000
    the combined angle for M3 and M5 = 72 + 78 =  150 degrees
    If 150 degrees represents 3000 keys, then 1 degree represents 3000150 \frac{3000}{150}​ = 20 keys.
    Therefore, the total number of keys manufactured by all 5 machines (which corresponds to 360 degrees) is:
    360 × 20 = 7200
    Final Answer
    So the correct answer is (d)

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