Percentage


  1. The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr.











  1. View Hint View Answer Discuss in Forum

    Given, R = 15% and R2 = 20%
    Required population
    = P(1 + R1/100) (1 - R2/100)

    Correct Option: C

    Given, R = 15% and R2 = 20%
    Required population
    = P(1 + R1/100) (1 - R2/100)
    = 126800(1 + 15/100) (1- 20/100)
    = 126800 (1 + 3/20 ) (1- 1/5)
    = 126800 x (23/20) x (4/5) = 116656


  1. The population of a town is 705600. If it increases at the rate of 5% per annum, then what will be its population 2yr hence ?











  1. View Hint View Answer Discuss in Forum

    Given that,
    P = 705600, R = 5% and n = 2

    According to the formula,
    Population after n yr = p(1 + R/100)n

    Correct Option: A

    Given that,
    P = 705600, R = 5% and n = 2

    According to the formula,
    Population after n yr = p(1 + R/100)n

    ∴ Population after 2 yr.
    = 705600 x (1+ 5/100)2
    = 705600 x (105/100)2
    = 705600 x (21/20 x 21/20) = 777924



  1. The population of a town is 1058400. if it increase at the rate of 5% per annum, then find the population of the town 2 yr ago.











  1. View Hint View Answer Discuss in Forum

    Given that,
    p = 1058400, R = 5% and n = 2
    According the formula,
    Population n yr ago = P/(1 + R/100) n

    Correct Option: C

    Given that,
    p = 1058400, R = 5% and n = 2
    According the formula,
    Population n yr ago = P/(1 + R/100) n
    ∴ Population 2yr ago = 1058400/(1+ 5/100)2
    = 1058400 x 20/21 x 20/21 = 960000


  1. The population of a city is 250000. It is increasing at the rate of 2% every year. The growth in the population after 2 yr is ?









  1. View Hint View Answer Discuss in Forum

    Population after 2 yr
    = P (1 + R/100)2
    = 250000 (1 + 2/100)2

    Correct Option: D

    Population after 2 yr
    = P (1 + R/100)2
    = 250000 (1 + 2/100)2
    ⇒ 250000 x (51/50) x (51/50) = 260100
    ∴ Growth = 260100 - 250000 = 10100



  1. In a school, 10% of boys are equal to the one - fourth of the girls. What is the ration of boys and girls in that school?









  1. View Hint View Answer Discuss in Forum

    Let the number of boys = B
    and number of girls = G
    Then, 10% of B = 1/4 of G

    Correct Option: B

    Let the number of boys = B
    and number of girls = G
    Then, 10% of B = 1/4 of G
    ⇒ B/10 = G/4
    ⇒ B/G = 10/4 = 5/2
    ⇒ B : G = 5 : 2