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    The number of students in a school increases every year by 5%. If the number of the students in 2023 is 5,670, what was the number of students in
    Question

    The number of students in a school increases every year by 5%. If the number of the students in 2023 is 5,670, what was the number of students in 2022?

    A.

    5,230

    B.

    5,330

    C.

    5,400

    D.

    5,430

    Correct option is C

    Given:

    The number of students in 2023 = 5670

    Annual increase rate = 5%

    We are to find the number of students in 2022 (i.e., 1 year before the increase)

    Formula Used:

    Original Value =Increased Value1+r100 \frac{\text{Increased Value}}{1 + \frac{r}{100}}

    Where:

    Increased Value = value after increase

    r = rate of increase

    Solution:

    Students in 2022 =56701+5100= \frac{5670}{1 + \frac{5}{100}}

    =56701.05 \frac{5670}{1.05}

    = 5400

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