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    Question

    The population of a city increases 4% but decreases by

    emigration annually to the extent of 1%. What will be the increase percentage in the next 4 years (rounded off to two decimal places)?
    A 12.25% Correct Answer Incorrect Answer
    B 12.32% Correct Answer Incorrect Answer
    C 12.55% Correct Answer Incorrect Answer
    D 12.21% Correct Answer Incorrect Answer

    Solution

    Net annual change in population = Increase − Decrease
    = 4% − 1% = 3% increase per year

    Population growth over 4 years = ( 1.03 ) 4   

    ( 1.03 ) 2  = 1.0609


    (1.03)^4 = (1.0609)^2 = 1.12550881 ( 1.03 ) 4  =  ( 1.0609 ) 2   =  1.12550881

    Total increase factor = 1.12550881 − 1 = 0.12550881

    Percentage increase = 0.12550881 × 100  = 12.55% (approx.)

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