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In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes.

  • 16800
  • 15800
  • 16700
  • 15700

Answer: Option A

Explanation:

Let the total number of votes enrolled are x.
Number of votes cast = 75% of x
Valid votes = 98% of 75% of x

Now, as 9261 is the 75% of valid casted votes so,

75% of 98% of 75% of x = 9261 [imporant]

=>75×98×75×x100×100×100=9261=>x=16800


Similar Questions :

1. Half of 1 percent written as decimal is

  • 5
  • 0.5
  • 0.05
  • 0.005

Answer: Option D

Explanation:

It will be 1/2(1%) = 1/2(1/100) = 1/200 = 0.005

2. In expressing a length of 81.472 km as nearly as possible with the three significant digits, find the percentage error

  • 0.35%
  • 0.34%
  • 0.034%
  • 0.035%

Answer: Option C

Explanation:

Error = (81.5 - 81.472) = 0.028
Required percentage = 0.02881.472×100=0.034

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

  • 55%
  • 56%
  • 57%
  • 58%

Answer: Option C

Explanation:

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

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

4. In an examination, 34% of the students failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the percentage of students who passed in both the subjects.

  • 40%
  • 42%
  • 44%
  • 46%

Answer: Option C

Explanation:

Failed in mathematics, n(A) = 34
Failed in English, n(B) = 42
n(A∪B)=n(A)+n(B)−n(A∩B)=34+42−20=56Failed in either or both subjects are 56Percentage passed = (100−56)%=44%


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

  • 140
  • 150
  • 180
  • 200

Answer: Option C

Explanation:

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

Read more from - Percentage Questions Answers
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