Subject

    Data Interpretation

    Topic

    Pie Chart

    Find the average of decreased amount (in Rs.) of the items which have shown decrease.

    ক)
    3100
    খ)
    1333.33
    গ)
    1033.33
    ঘ)
    2033.33
    ঙ)
    None of these

    Explanation

    Since it can be seen for the above pie chart that the expenses of the items A, D, and E decreases from 54 o to 45 o , 72 o to 54 o and 45 o to 36 o respectively ∴ Angle subtended by A, D, and E in 2012 = 54 o + 72 o + 45 o = 171 o ∵ Total amount spent in 2012 = Rs. 36000 ∴ Amount spent on A, D, and E in 2012 =171360×36000=Rs.17100= \frac{{171}}{{360}} \times 36000 = {\rm{Rs}}.17100 ∴ Angle subtended by A, D, and E in 2013 = 36 o + 54 o + 36 o = 126 o ∵ Total amount spent in 2013 = Rs. 40000 ∴ Amount spent on A, D, and E in 2013 =126360×40000=Rs.14000= \frac{{126}}{{360}} \times 40000 = {\rm{Rs}}.14000 ∴ Decreased amount of the items = 17100 – 14000 = Rs. 3100 ∴ Average of decreased amount of the items A, D, and E = 3100/3 = 1033.33

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