Percentage


  1. 30% of y is 72. The value of y is:









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    Given that , 30% of y = 72

    ∴ y =
    72 × 100
    = 240
    30

    Correct Option: B

    Given that , 30% of y = 72

    ∴ y =
    72 × 100
    = 240
    30

    Hence , The value of y is 240.


  1. If 15% of (A + B) = 25% of (A – B), then what percent of B is equal to A?









  1. View Hint View Answer Discuss in Forum

    According to question ,
    15% of (A + B) = 25% of (A – B)

    15
    (A + B) =
    25
    (A - B)
    100100

    ⇒ 15 (A + B) = 25 (A – B)
    ⇒ 15 A + 15 B = 25A – 25 B
    ⇒ 10 A = 40 B
    ⇒ A = 4B
    Now, let p% of B is equal to A
    p
    × B = A
    100

    Correct Option: D

    According to question ,
    15% of (A + B) = 25% of (A – B)

    15
    (A + B) =
    25
    (A - B)
    100100

    ⇒ 15 (A + B) = 25 (A – B)
    ⇒ 15 A + 15 B = 25A – 25 B
    ⇒ 10 A = 40 B
    ⇒ A = 4B
    Now, let p% of B is equal to A
    p
    × B = A
    100

    p
    × B = 4B
    100

    ∴ p = 400%



  1. In an examination 42% of the candidates failed in physics, 24% of the candidates failed in Chemistry and 14% of the candidates failed in both the subjects. If 72 candidates passed in both, find the total number of candidates in the examination.









  1. View Hint View Answer Discuss in Forum

    Percentage of students failed only in :
    Physics = 42 – 14 = 28
    Chemistry = 24 – 14 = 10
    ∴ Percentage of students who
    failed in Physics or Chemistry or both = 28 + 10 + 14 = 52
    ∴ Percentage of candidates who passed
    = 100 – 52 = 48
    If the total number of students be x, then

    x ×
    48
    = 72
    100

    ⇒ x =
    72 × 100
    = 150
    48

    Correct Option: C

    Percentage of students failed only in :
    Physics = 42 – 14 = 28
    Chemistry = 24 – 14 = 10
    ∴ Percentage of students who
    failed in Physics or Chemistry or both = 28 + 10 + 14 = 52
    ∴ Percentage of candidates who passed
    = 100 – 52 = 48
    If the total number of students be x, then

    x ×
    48
    = 72
    100

    ⇒ x =
    72 × 100
    = 150
    48


  1. An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was









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    Initial number of soldiers in the army = x
    According to the question,

    x ×
    90
    ×
    90
    ×
    90
    = 729000
    100100100

    ⇒ x =
    729000 × 1000
    = 1000000
    9 × 9 × 9

    Correct Option: B

    Initial number of soldiers in the army = x
    According to the question,

    x ×
    90
    ×
    90
    ×
    90
    = 729000
    100100100

    ⇒ x =
    729000 × 1000
    = 1000000
    9 × 9 × 9



  1. If the value of a company stock drops from Rs. 25 per share to Rs. 21 per share, the percentage decrease per share is :









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    Required percentage decrease

    =
    25 - 21
    × 100
    25

    =
    400
    = 16%
    25

    Correct Option: D

    Required percentage decrease

    =
    25 - 21
    × 100
    25

    =
    400
    = 16%
    25