Percentage


  1. In an assembly election, a candidate got 55% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 104000, then the number of valid votes polled in favour of the candidate is:









  1. View Hint View Answer Discuss in Forum

    Number of valid votes

    = 104000 ×
    98
    = 101920
    100

    ∴ Valid votes received by the candidate
    =
    101920 × 55
    = 56056
    100

    Correct Option: D

    Number of valid votes

    = 104000 ×
    98
    = 101920
    100

    ∴ Valid votes received by the candidate
    =
    101920 × 55
    = 56056
    100


  1. Two candidates contested in an election. One got 60% of the votes and won by 1600 votes. What is the number of votes polled ?









  1. View Hint View Answer Discuss in Forum

    If the number of votes polled be x, then

    x × 20
    = 1600
    100

    ⇒ x =
    1600 × 100
    = 8000
    20

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 1600
    = 8000
    50 - 60

    (–ve sign will be neglected)

    Correct Option: B

    If the number of votes polled be x, then

    x × 20
    = 1600
    100

    ⇒ x =
    1600 × 100
    = 8000
    20

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 1600
    = 8000
    50 - 60

    (–ve sign will be neglected)



  1. In an election, three candidates contested. The first candidate got 40% votes and the second got 36% votes. If total number of votes polled were 36000, find the number of votes got by the 3rd candidate.









  1. View Hint View Answer Discuss in Forum

    Vote percentage of third candidate
    = 100 – 40 – 36 = 24%
    ∴ Votes got by third candidate

    =
    36000 × 24
    = 8640
    100

    Correct Option: B

    Vote percentage of third candidate
    = 100 – 40 – 36 = 24%
    ∴ Votes got by third candidate

    =
    36000 × 24
    = 8640
    100


  1. Two persons contested an election of Parliament. The winning candidate secured 57% of the total votes polled and won by a majority of 42,000 votes. The number of total votes polled is









  1. View Hint View Answer Discuss in Forum

    Total votes polled = x
    ∴ (57 – 43)% of x = 42000

    ⇒ x ×
    14
    = 42000
    100

    ⇒ x =
    42000 × 100
    = 300000
    14

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 42000
    = 300000
    50 - 57

    (–ve sign will be neglected)

    Correct Option: C

    Total votes polled = x
    ∴ (57 – 43)% of x = 42000

    ⇒ x ×
    14
    = 42000
    100

    ⇒ x =
    42000 × 100
    = 300000
    14

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 42000
    = 300000
    50 - 57

    (–ve sign will be neglected)



  1. In an election, a candidate who gets 84 % of the votes is elected by a majority of 476 votes. What is the total number of votes polled ?









  1. View Hint View Answer Discuss in Forum

    Total number of votes polled = x

    x × 84
    -
    x × 16
    = 476
    100100

    68x
    = 476
    100

    ⇒ x =
    475 × 100
    = 700
    68

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 476
    50 - 84

    =
    50 × 476
    = 700
    34

    (–ve sign will be neglected)

    Correct Option: D

    Total number of votes polled = x

    x × 84
    -
    x × 16
    = 476
    100100

    68x
    = 476
    100

    ⇒ x =
    475 × 100
    = 700
    68

    Aliter : Using Rule 26,
    Total number of votes
    =
    50 × 476
    50 - 84

    =
    50 × 476
    = 700
    34

    (–ve sign will be neglected)