Percentage


  1. In the expression xy2, the values of both variables x and y are decreased by 20%. By this, the value of the expression is decreased by









  1. View Hint View Answer Discuss in Forum

    Let x = 10 and y = 10
    ∴ xy2 = 10 × 10 × 10=1000 units
    Decreasing values of x and y by 20%,
    Expression = xy2 = 8 × 8 × 8 = 512
    Decrease= 1000–512 = 488 units
    Percentage decrease

    =
    488
    × 100 = 48.8%
    1000

    Correct Option: C

    Let x = 10 and y = 10
    ∴ xy2 = 10 × 10 × 10=1000 units
    Decreasing values of x and y by 20%,
    Expression = xy2 = 8 × 8 × 8 = 512
    Decrease= 1000–512 = 488 units
    Percentage decrease

    =
    488
    × 100 = 48.8%
    1000


  1. p is six times as large as q. The per cent that q is less than p, is









  1. View Hint View Answer Discuss in Forum

    If a number is x% more than other, then the other number is less than the first number by

    x
    × 100%
    100

    ∴ Required answer
    =
    500
    × 100 =
    500
    × 100
    100 + 500600

    =
    250
    = 83
    1
    33

    Method 2 : Let q = x, p = 6x.
    p – q = 6x – x = 5x
    In % =
    5x
    × 100 = 83
    1
    %
    6x3

    Correct Option: A

    If a number is x% more than other, then the other number is less than the first number by

    x
    × 100%
    100

    ∴ Required answer
    =
    500
    × 100 =
    500
    × 100
    100 + 500600

    =
    250
    = 83
    1
    33

    Method 2 : Let q = x, p = 6x.
    p – q = 6x – x = 5x
    In % =
    5x
    × 100 = 83
    1
    %
    6x3



  1. X has twice as much money as that of Y and Y has 50% more money than that of Z. If the average money of all of them is 110, then the money, which X has, is









  1. View Hint View Answer Discuss in Forum

    Let z have x

    ∴ Money with Y =
    3
    x and
    2

    Money with X = 3x
    ∴ 3x +
    3x
    + x = 3 × 110
    2

    6x + 3x + 2x
    = 330
    2

    ⇒ 11 x = 2 × 330
    ⇒ x =
    2 × 330
    = 60
    11

    ∴ Money with
    X = 3x = ₹(3×60) = ₹ 180

    Correct Option: D

    Let z have x

    ∴ Money with Y =
    3
    x and
    2

    Money with X = 3x
    ∴ 3x +
    3x
    + x = 3 × 110
    2

    6x + 3x + 2x
    = 330
    2

    ⇒ 11 x = 2 × 330
    ⇒ x =
    2 × 330
    = 60
    11

    ∴ Money with
    X = 3x = ₹(3×60) = ₹ 180


  1. An individual pays 30% income tax. On this tax he has to pay a surcharge of 10%. Thus, the net tax rate, he has to pay, is









  1. View Hint View Answer Discuss in Forum

    The net tax rate

    = 30 + 30 ×
    10
    % = 33%
    100

    Correct Option: C

    The net tax rate

    = 30 + 30 ×
    10
    % = 33%
    100



  1. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?









  1. View Hint View Answer Discuss in Forum

    Water in 100 kg fresh fruit = 68%
    Water in dry fruit = 20%
    Decrease = 48%
    ∴ Dry fruit obtained
    = 100 – 48 = 52 kg.

    Correct Option: C

    Water in 100 kg fresh fruit = 68%
    Water in dry fruit = 20%
    Decrease = 48%
    ∴ Dry fruit obtained
    = 100 – 48 = 52 kg.