Percentage


  1. Which number is 40% less than 90 ?









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    Required number = 60% of 90 =
    90 × 60
    100

    Correct Option: B

    Required number = 60% of 90 =
    90 × 60
    = 54
    100

    Hence , required answer is 54.


  1. Two numbers are respectively 12
    1
    % and 25% more than a third number.
    2

    The first number as percentage of second number is









  1. View Hint View Answer Discuss in Forum

    If the third number is 100, then the numbers are

    100 +
    25
    =
    225
    and 125 respectively.
    22

    Correct Option: D

    If the third number is 100, then the numbers are

    100 +
    25
    =
    225
    and 125 respectively.
    22

    ∴ First number as a percentage of the second =
    225
    × 100 = 90
    2 × 125

    Rule : If two numbers are respectively a% and b% more than a third number the first as a percent of second is
    100 + a
    × 100%
    100 + b



  1. If a number p is 10% less than another number q and q is 10% more than 125, then p is equal to :









  1. View Hint View Answer Discuss in Forum

    According to question ,

    q is 10% more than 125 = 125 ×
    110
    = 137.5 = q
    100

    and p is 10% less than q

    Correct Option: D

    According to question ,

    q is 10% more than 125 = 125 ×
    110
    = 137.5 = q
    100

    and p is 10% less than q
    p =
    90
    × q =
    90
    × 137.5 = 123.75
    100100


  1. The difference of two numbers is 20% of the larger number. If the smaller number is 20, the larger number is :









  1. View Hint View Answer Discuss in Forum

    Let the larger number be y.
    ⇒ According to question,
    y – 20 = 20% of y

    or, y – 20 =
    y
    5

    or, y –
    y
    = 20
    5

    Correct Option: A

    Let the larger number be y.
    ⇒ According to question,
    y – 20 = 20% of y

    or, y – 20 =
    y
    5

    or, y –
    y
    = 20
    5

    or, 5y – y = 20 × 5
    or, 4y = 20 × 5
    ⇒ y = 5 × 5 = 25



  1. If p earns 25% more than q. What percent less does q earn than p ?









  1. View Hint View Answer Discuss in Forum

    Here , A = 25%

    Required percentage =
    A
    × 100%
    (100 + A)

    Correct Option: C

    Here , A = 25%

    Required percentage =
    A
    × 100%
    (100 + A)

    Required percentage =
    25
    × 100 = 20%
    100 + 25