Percentage


  1. The income of C is 20% more than B’s and the income of B is 25% more than A’s. Find by how much per cent is C’s income more than A’s ?









  1. View Hint View Answer Discuss in Forum

    Suppose income of A = 100
    ∴ Income of B = 125
    Income of C = 150

    ∴ Required percentage =
    ( Income of C - Income of A ) × 100
    %
    Income of A

    Correct Option: B

    Suppose income of A = 100
    ∴ Income of B = 125
    Income of C = 150

    ∴ Required percentage =
    ( Income of C - Income of A ) × 100
    %
    Income of A

    ∴ Required percentage =
    50 × 100
    = 50%
    100


  1. A person who spends 66
    2
    of
    3

    his income is able to save ₹1,200 per month. His monthly expenses (in ₹) is :









  1. View Hint View Answer Discuss in Forum

    According to question ,

    Savings = 100% - 66
    2
    %
    3

    = 33
    1
    %
    3

    ∴ 33
    1
    % = ₹ 1200
    3

    ∴ 100% =
    1200
    × 3 × 100 = ₹ 3600
    100

    ∴ Expenses = Total income - savings
    Expenses = 3600 – 1200 = ₹ 2400
    We can find the required answer with the help of given formula ,
    Here, R = ₹ 1200
    A = 66
    2
    %
    3

    Correct Option: B

    According to question ,

    Savings = 100% - 66
    2
    %
    3

    = 33
    1
    %
    3

    ∴ 33
    1
    % = ₹ 1200
    3

    ∴ 100% =
    1200
    × 3 × 100 = ₹ 3600
    100

    ∴ Expenses = Total income - savings
    Expenses = 3600 – 1200 = ₹ 2400
    We can find the required answer with the help of given formula ,
    Here, R = ₹ 1200
    A = 66
    2
    %
    3

    Now ,
    Monthly income =
    100
    × 1200
    100 - 66
    2
    3

    Monthly income =
    100
    × 1200
    100 -
    200
    3

    Monthly income =
    300
    × 1200 = ₹ 3600
    100

    Expenses = Income – savings = 3600 – 1200 = ₹ 2400



  1. x is 5 times longer than y. The percentage by which y is less than x is :









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    Length of Y = 1 foot
    ∴ Length of X = 5 feet

    Required percent =
    5 - 1
    × 100
    5

    Correct Option: C

    Length of Y = 1 foot
    ∴ Length of X = 5 feet

    Required percent =
    5 - 1
    × 100 = 80%
    5


  1. The percentage change in a number when it is first decreased by 10% and then increased by 10% is









  1. View Hint View Answer Discuss in Forum

    Here , y = 10%
    Using the given formula ,

    Required percent = -
    y2
    %
    100

    Correct Option: B

    Here , y = 10%
    Using the given formula ,

    Required percent = -
    y2
    %
    100

    Required percent = -
    10 × 10
    = –1%
    100

    Negative sign shows decrease.



  1. If the salary of Manoj is 40% less than that of Subhash, then by how much percentage is the salary of Subhash more than that of Manoj?









  1. View Hint View Answer Discuss in Forum

    Here , A = 40%

    Required percent =
    40
    × 100
    100 - 40

    Required percent =
    40 × 100
    60

    Correct Option: C

    Here , A = 40%

    Required percent =
    40
    × 100
    100 - 40

    Required percent =
    40 × 100
    60

    Required percent =
    200
    = 66
    2
    %
    33