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    Two years ago, the population of a city was 1,10,000. The population increased by 10% in the first year and decreased by 10% in the second year. Find
    Question

    Two years ago, the population of a city was 1,10,000. The population increased by 10% in the first year and decreased by 10% in the second year. Find the present population.

    A.

    1,08,500

    B.

    1,08,600

    C.

    1,08,800

    D.

    1,08,900

    Correct option is D

    Given:

    Population 2 years ago = 1,10,000

    1st year: Increase of 10%

    2nd year: Decrease of 10%

    Find present population.

    Formula Used:

    Population after 2 year = Original Population × (1+increase100)×(1decrease100)\left(1 + \frac{increase}{100} \right) \times \left(1 - \frac{decrease}{100} \right)​​

    Solution:

    Population after 2 year ;

    = 1,10,000 × (1+10100)×(110100)\left(1 + \frac{10}{100} \right) \times \left(1 - \frac{10}{100} \right) 

    = 110000 × 110100×90100\frac{110}{100} \times \frac{90}{100} 

    = 108900

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