Percentage


  1. If 60% of A’s income is equal to 75% of B’s income, then B’s income is equal to y% of A’s income. The value of y is :









  1. View Hint View Answer Discuss in Forum

    Let A’s income = ₹ a and B’s income = ₹ b
    a × 60% = b × 75%
    ∴ a × 4 = 5 × b

    b
    =
    4
    a5

    Now, b = a × y%
    b
    =
    y
    a100

    Correct Option: C

    Let A’s income = ₹ a and B’s income = ₹ b
    a × 60% = b × 75%
    ∴ a × 4 = 5 × b

    b
    =
    4
    a5

    Now, b = a × y%
    b
    =
    y
    a100

    y
    =
    4
    1005

    ⇒ y =
    4
    × 100 = 80
    5


  1. If the income of Ram is 12
    1
    % more than that of Shyam,
    2
    the income of Shyam is less than that of Ram by









  1. View Hint View Answer Discuss in Forum

    Here , R = 12.5%
    We can find the required percent with the help of given formula ,

    Required % =
    R × 100
    100 ± R

    ∴ Required % =
    12.5 × 100
    100 + 12.5

    Required % =
    1250
    112.5

    Correct Option: A

    Here , R = 12.5%
    We can find the required percent with the help of given formula ,

    Required % =
    R × 100
    100 ± R

    ∴ Required % =
    12.5 × 100
    100 + 12.5

    Required % =
    1250
    112.5

    Required % =
    100
    = 11
    1
    99



  1. Income of A is 10% more than income of B. Let B’s income be y% less than A’s income. Find y.









  1. View Hint View Answer Discuss in Forum

    Here , R = 10%
    We can find the required percent with the help of given formula ,

    y =
    10
    × 100 %
    100 + 10

    =
    1000
    %
    110

    Correct Option: A

    Here , R = 10%
    We can find the required percent with the help of given formula ,

    y =
    10
    × 100 %
    100 + 10

    =
    1000
    %
    110

    Required answer =
    100
    % = 9
    1
    1111

    Note : If A is r% more than B, then B is
    r
    × 100 % less than A.
    100 + r


  1. What percent decrease in salaries would exactly cancel out the 20 percent increase?









  1. View Hint View Answer Discuss in Forum

    Here , A = 20%
    We can find the required answer with the help of given formula ,

    Required answer =
    A
    × 100 %
    100 + A

    Required answer =
    20
    × 100 %
    100 + 20

    Correct Option: B

    Here , A = 20%
    We can find the required answer with the help of given formula ,

    Required answer =
    A
    × 100 %
    100 + A

    Required answer =
    20
    × 100 %
    100 + 20

    Required answer =
    20
    × 100 %
    120

    Required answer =
    50
    % = 16
    2
    33



  1. If A’s income is 40% less than that of B, how much percent B’s income is more than that of A?









  1. View Hint View Answer Discuss in Forum

    Here , A = 40%
    Using the given formula ,

    Required percentage =
    A
    × 100
    100 - A

    Correct Option: C

    Here , A = 40%
    Using the given formula ,

    Required percentage =
    A
    × 100
    100 - A

    Required percentage =
    40
    × 100 =
    200
    = 66.66%
    603