Question

    The population of a town grows by 25% in the first year,

    declines by 20% in the second year, and rises by 30% in the third year. What is the total percentage change in the population over 3 years?
    A 30% increase Correct Answer Incorrect Answer
    B 30% decrease Correct Answer Incorrect Answer
    C 32% increase Correct Answer Incorrect Answer
    D 32% decrease Correct Answer Incorrect Answer

    Solution

    Let the initial population be 100.   1st year: Population after a 25% increase = 125.   2nd year: Population after a 20% decrease = 100.   3rd year: Population after a 30% increase = 130.   Overall percentage change = (130 - 100) / 100 × 100 = 30%.   The overall percentage change is an increase of 30%.

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