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The population of village is 1,00,000. The rate of increase is 10% per annum. Find the population at the start of the third year?

A. 1,33,100

B. 1,21,000

C. 1,18,800

D. 1,20,000

E. None of these

Answer: Option B

Solution(By Examveda Team)

100000 == 10%↑(1st year) ==> 110000 == 10%↑(2nd year) ==> 121000
Population at starting of 3rd year = 121000

[By using net percentage change method, we have saved our self from cumber some formulas on population which is based on compound interest].

This Question Belongs to Arithmetic Ability >> Percentage

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Comments ( 2 )

  1. Abduselam Isak
    Abduselam Isak :
    4 months ago

    To find the population at the start of the third year, we need to calculate the population after two years of growth.

    Given:
    Initial population (at the start of the first year) = 100,000
    Rate of increase = 10% per annum

    To calculate the population after one year, we can use the formula:

    Population after one year = Initial population + (Rate of increase * Initial population)

    Population after one year = 100,000 + (0.10 * 100,000) = 100,000 + 10,000 = 110,000

    Now, to calculate the population after two years, we can use the same formula:

    Population after two years = Population after one year + (Rate of increase * Population after one year)

    Population after two years = 110,000 + (0.10 * 110,000) = 110,000 + 11,000 = 121,000

    Therefore, the population at the start of the third year is 121,000.

    The correct answer is B. 1,21,000.

  2. Prathap D
    Prathap D :
    4 years ago

    10% = 1/10. 10..... 11... For 1'st yr
    10......11....for 2nd year
    *- - - - *- - - -
    100. 121
    100--->100000. Then
    121...... = 121000

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