Percentage


  1. Two numbers A and B are such that the sum of 5% of A and 4% of B is
    2
    rd of the sum of 6% of A and 8% of B. The ratio A : B is
    3










  1. View Hint View Answer Discuss in Forum

    According to question ,
    Numbers ⇒ A and B

    A × 5
    +
    B × 4
    100100

    =
    2
    A × 6
    +
    B × 8
    3100100

    ⇒ 5A + 4B =
    12A + 16B
    3

    ⇒ 15A + 12B = 12A + 16B
    ⇒ 15A – 12A = 16B – 12B

    Correct Option: A

    According to question ,
    Numbers ⇒ A and B

    A × 5
    +
    B × 4
    100100

    =
    2
    A × 6
    +
    B × 8
    3100100

    ⇒ 5A + 4B =
    12A + 16B
    3

    ⇒ 15A + 12B = 12A + 16B
    ⇒ 15A – 12A = 16B – 12B
    ⇒ 3A = 4B
    A
    =
    4
    = 4 : 3
    B3


  1. The ratio of the number of boys and girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is









  1. View Hint View Answer Discuss in Forum

    Let Boys in school = 2k and Girls = 3k.
    Students who are not scholarship holders :

    Boys ⇒
    2k × 75
    =
    6k
    1004

    Girls ⇒
    3k × 70
    =
    21k
    10010

    Total students who do not hold scholarship =
    6k
    +
    21k
    410

    Correct Option: A

    Let Boys in school = 2k and Girls = 3k.
    Students who are not scholarship holders :

    Boys ⇒
    2k × 75
    =
    6k
    1004

    Girls ⇒
    3k × 70
    =
    21k
    10010

    Total students who do not hold scholarship =
    6k
    +
    21k
    410

    Total students who do not hold scholarship =
    30k + 42k
    =
    72k
    =
    18k
    20205

    ∴ Required percentage =
    18k
    5
    × 100 = 72%
    5k



  1. If 15% of p is same as 20 % of q then p : q is









  1. View Hint View Answer Discuss in Forum

    According to question ,
    15% of p = 20 % of q

    p ×
    15
    = q ×
    20
    100100

    ⇒ p × 15 = q × 20

    Correct Option: A

    According to question ,
    15% of p = 20 % of q

    p ×
    15
    = q ×
    20
    100100

    ⇒ p × 15 = q × 20
    p
    =
    20
    =
    4
    = 4 : 3
    q153


  1. The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is 200 more than the price of a shoe. Then the price of a shoe is









  1. View Hint View Answer Discuss in Forum

    Given that , Ratio = 7 : 5.
    Let The prices of a school bag and a shoe are 7k and 5k .
    Difference between their prices = 200
    7k – 5k = 200
    ⇒ 2k = 200 ⇒ k = 100

    Correct Option: C

    Given that , Ratio = 7 : 5.
    Let The prices of a school bag and a shoe are 7k and 5k .
    Difference between their prices = 200
    7k – 5k = 200
    ⇒ 2k = 200 ⇒ k = 100
    ∴ Price of a pair of shoes = 5k = 5 × 100 = ₹ 500



  1. The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is









  1. View Hint View Answer Discuss in Forum

    According to question ,

    Women =
    43
    × 311250 = 161250
    83

    Men = 311250 – 161250 = 150000

    Correct Option: B

    According to question ,

    Women =
    43
    × 311250 = 161250
    83

    Men = 311250 – 161250 = 150000
    ∴ Total number of literate persons =
    161250 × 8
    + 150000 ×
    24
    100100

    Total number of literate persons = 12900 + 36000 = 48900