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Percentage Questions Answers

  • 15. If 15% of 40 is greater than 25% of a number by 2, the number is

    1. 14
    2. 16
    3. 18
    4. 20
    Answer And Explanation

    Answer: Option B

    Explanation:

    15/100 * 40 - 25/100 * x = 2 or x/4 = 4 so x = 16

  • 16. A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets.

    1. 40%
    2. 50%
    3. 60%
    4. 70%
    Answer And Explanation

    Answer: Option B

    Explanation:

    Number of runs made by running = 110 - (3 x 4 + 8 x 6)
    = 120 - (60)
    = 60

    Now, we need to calculate 60 is what percent of 120.

    => 60/120 * 100 = 50 %

  • 17. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got

    1. 55%
    2. 56%
    3. 57%
    4. 58%
    Answer And Explanation

    Answer: Option C

    Explanation:

    Total number of votes polled = (1136 + 7636 + 11628) = 20400

    So, Required percentage = 11628/20400 * 100 = 57%

  • 18. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are

    1. 42,30
    2. 42,31
    3. 42,32
    4. 42,33
    Answer And Explanation

    Answer: Option D

    Explanation:

    Let their marks be (x+9) and x.
    Then, x+9 = 56/100(x + 9 +x)
    => 25(x+9)
    => 14 (2x + 9)
    => 3x = 99
    => x = 33.
    So, their marks are 42 and 33

  • 19. One fourth of one third of two fifth of a number is 15. What will be40% of that number

    1. 140
    2. 150
    3. 180
    4. 200
    Answer And Explanation

    Answer: Option C

    Explanation:

    (1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450
    40% of 450 = 180

  • 20. Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed

    1. 5
    2. 6
    3. 7
    4. 8
    Answer And Explanation

    Answer: Option A

    Explanation:

    Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)
    = 7 + 12 + 21 = 40.

    Questions to be answered correctly for 60% = 60% of total quations
    = 60 % of 75 = 45.

    He would have to answer 45 - 40 = 5

  • 21. 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants

    1. 5500
    2. 6000
    3. 6500
    4. 7000
    Answer And Explanation

    Answer: Option B

    Explanation:

    Let the total number is x,
    then,

    (100-25)% of (100 - 10)% x = 4050
    => 75% of 90% of x = 4050
    => 75/100 * 90/100 * x = 4050
    => x = (4050*50)/27 = 6000