Subject

    Data Interpretation

    Topic

    Pie Chart

    Find the sum of the differences between expenditure in 2012 and 2013 on D and that on C?

    ক)
    4400
    খ)
    2400
    গ)
    2100
    ঘ)
    4200
    ঙ)
    None of these

    Explanation

    ∵ Total amount spent in 2012 = Rs. 36000 ∵ Total amount spent in 2013 = Rs. 40000 ∵ Angular share of C in 2012 = 90 o ∴ Amounts spent for C in 2012 =  90360×36000=Rs.  9000= {\rm{\;}}\frac{{90}}{{360}} \times 36000 = {\rm{Rs}}.{\rm{\;}}9000 ∵ Angular share of C in 2013 = 108 o ∴ Amounts spent for C in 2013 =  108360×40000=Rs.  12000= {\rm{\;}}\frac{{108}}{{360}} \times 40000 = {\rm{Rs}}.{\rm{\;}}12000 ∴ Differences between expenditure in 2012 and 2013 on C = 12000 – 9000 = Rs. 3000 ∵ Angular share of D in 2012 = 72 o ∴ Amounts spent for D in 2012 =  72360×36000=Rs.  7200= {\rm{\;}}\frac{{72}}{{360}} \times 36000 = {\rm{Rs}}.{\rm{\;}}7200 ∵ Angular share of D in 2013 = 54 o ∴ Amounts spent for D in 2013 =  54360×40000=Rs.  6000= {\rm{\;}}\frac{{54}}{{360}} \times 40000 = {\rm{Rs}}.{\rm{\;}}6000 ∴ Differences between expenditure in 2012 and 2013 on D = 7200 – 6000 = Rs. 1200 ∴ Sum of the differences between expenditure in 2012 and 2013 = 3000 + 1200 = Rs. 4200

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