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    The population of a town is 2,24,375. If it increases at the rate of 4% per annum, what will be its population 2 years hence?
    Question

    The population of a town is 2,24,375. If it increases at the rate of 4% per annum, what will be its population 2 years hence?

    A.

    2,42,684

    B.

    2,40,468

    C.

    2,36,864

    D.

    2,32,846

    Correct option is A

    Given:

    Population = 2,24,375

    r = growth rate (4% = 0.04)​

    t = 2

    Formula used:

    Pt=P0(1+r)tP_t = P_0(1+r)^t​​

    Solution:

    Pt=P0(1+r)tP_t = P_0(1+r)^t

    = 224,375 ×\times (1.04)2(1.04)^2 

    = 224,375 ×\times 1.0816

    = 242684

    Thus,  Population after 2 years is 242684

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