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

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• 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 %

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• 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%

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• 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

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• 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

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• 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

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• 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
  

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