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In a parliamentary election, if 40% of the votes are invalid and 60% are valid,

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Question: In a parliamentary election, if 40% of the votes are invalid and 60% are valid, what is the ratio of valid votes to total votes if there are 1000 total votes? (2019)

Options:

  1. 3:5
  2. 2:5
  3. 3:4
  4. 4:5

Correct Answer: 4:5

Exam Year: 2019

Solution: 

Valid votes = 60% of 1000 = 600. Total votes = 1000. Ratio = 600:1000 = 3:5.

In a parliamentary election, if 40% of the votes are invalid and 60% are valid,

Practice Questions

Q1
In a parliamentary election, if 40% of the votes are invalid and 60% are valid, what is the ratio of valid votes to total votes if there are 1000 total votes? (2019)
  1. 3:5
  2. 2:5
  3. 3:4
  4. 4:5

Questions & Step-by-Step Solutions

In a parliamentary election, if 40% of the votes are invalid and 60% are valid, what is the ratio of valid votes to total votes if there are 1000 total votes? (2019)
  • Step 1: Understand that there are 1000 total votes.
  • Step 2: Calculate the number of valid votes by finding 60% of 1000.
  • Step 3: To find 60% of 1000, multiply 1000 by 0.6 (which is the decimal form of 60%).
  • Step 4: 1000 * 0.6 = 600. So, there are 600 valid votes.
  • Step 5: The total number of votes is still 1000.
  • Step 6: Now, we need to find the ratio of valid votes to total votes, which is 600 to 1000.
  • Step 7: To simplify the ratio 600:1000, divide both numbers by 200.
  • Step 8: 600 ÷ 200 = 3 and 1000 ÷ 200 = 5.
  • Step 9: Therefore, the simplified ratio of valid votes to total votes is 3:5.
  • Percentage Calculation – Understanding how to calculate percentages of a total, specifically valid and invalid votes.
  • Ratio Simplification – The process of simplifying ratios to their lowest terms.
  • Understanding Total Votes – Recognizing the distinction between valid votes and total votes in the context of an election.
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