• Population of a town increases by 10% per year. If
the population of town is 2.00.000 at present, find
the population

By Arya

• Population of a town increases by 10% per year. If
the population of town is 2.00.000 at present, find
the population of the town after a year-
(A) 2,10,000
(B) 2,50.000
(C) 2.80,000
(D) 2,20,000​

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Arya

2 thoughts on “• Population of a town increases by 10% per year. If<br />the population of town is 2.00.000 at present, find<br />the population”

  1. Answer:

    Given:

    Population of a town increases by 10% per year. If the population of town is 2,00,000 at present, find the population of the town after a year.

    To Find:

    The population after 1 year.

    Note:

    Here, we will find how much population increases per year by multiplying 10% into total population ( unitary method ) then for finding population after a year, we will add the population increases per year by total population.

    Percent ( % ) means per hundred i.e. [tex] n [/tex] % [tex] = \frac{n}{100} [/tex]

    Solution:

    According to note first point~

    ▪︎[tex] Population \ \ increases \ \ per \ \ year = 10 [/tex] % [tex] × Total \ \ Population [/tex]

    According to note second point~

    ▪︎[tex] Population \ \ increases \ \ per \ \ year = \frac{10}{100} × 2,00,000 [/tex]

    ▪︎[tex] Population \ \ increases \ \ per \ \ year = \frac{20,00,000}{100} [/tex]

    ▪︎[tex] Population \ \ increases \ \ per \ \ year = 20,000 [/tex]

    [tex] \huge\pink{Population \ \ increases \ \ per \ \ year = 20,000} [/tex]

    __________________________

    [tex] \huge\red{[ Now, Population \ \ after \ \ a \ \ year ]} [/tex]

    Accordingly to note first point only~

    ▪︎[tex] Population \ \ after \ \ a \ \ year = Population \ \ increases \ \ per \ \ year + Total \ \ Population [/tex]

    ▪︎[tex] Population \ \ after \ \ a \ \ year = 20,000 + 2,00,000 [/tex]

    After adding~

    ▪︎[tex] Population \ \ after \ \ a \ \ year = 2,20,000 [/tex]

    [tex] \huge\pink{Population \ \ after \ \ a \ \ year = 2,20,000} [/tex]

    Answer:

    Hence, the Population of a town after a year = 2,20,000.

    :)

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