GMAT Exam  >  GMAT Questions  >  Candidate A, B and C are contesting elections... Start Learning for Free
Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?
  • a)
    2
  • b)
    2.4
  • c)
    3.2
  • d)
    4
  • e)
    8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Candidate A, B and C are contesting elections. Each voter can only vot...
ratio = a:b:c=4:3:1
but c =2 million 
thus multiplying the ratio with 2 we get = 8:6:2
thus total = 16 million
As 16 million is 20% decreased value of total X(let) voters 
16 = X(1-20/100)
thus X= 20 million
thus number of people not voted = 20-16 million =4 million
View all questions of this test
Most Upvoted Answer
Candidate A, B and C are contesting elections. Each voter can only vot...
Given:
- 20% of the voters refrained from voting
- Candidates A, B, and C received votes in the ratio 4:3:1
- Candidate C got 2 million votes

To find:
- The number of voters (in millions) who refrained from voting

Approach:
1. Let's assume that the total number of voters is 100x.
2. Then, the number of voters who refrained from voting is 20x.
3. Since the votes were cast in the ratio 4:3:1, we can represent the number of votes received by candidates A, B, and C as 4y, 3y, and 1y respectively, where y is a constant.
4. We know that Candidate C received 2 million votes, so 1y = 2 million.
5. Using the ratio of votes, we can write the following equation:
4y + 3y + 1y = 80x (total number of votes cast)
6. Simplifying the above equation, we get:
8y = 80x
y = 10x
7. Substituting the value of y in the equation 4y + 3y + 1y = 80x, we get:
4(10x) + 3(10x) + 1(10x) = 80x
40x + 30x + 10x = 80x
80x = 80x
This equation is satisfied, which means our assumption of the total number of voters being 100x is correct.
8. Therefore, the number of voters who refrained from voting is 20x = 20% of 100x = 20 million.

Answer:
The number of voters (in millions) who refrained from voting is 20x = 20% of 100x = 20 million, which is option D.
Free Test
Community Answer
Candidate A, B and C are contesting elections. Each voter can only vot...
Given:
- Candidates A, B, and C are contesting elections.
- 20% of the voters refrained from voting.
- Candidates A, B, and C received votes in the ratio 4:3:1, respectively.
- Candidate C got 2 million votes.

To find: How many voters (in millions) refrained from voting.

Approach:
- Let the total number of voters be 'x'.
- 20% of voters refrained from voting, so the number of voters who voted = 0.8x.
- The votes received by the candidates are in the ratio 4:3:1.
- Let the number of votes received by A, B, and C be 4y, 3y, and z, respectively. (Here, y and z are constants.)
- Candidate C received 2 million votes, so z = 2 million.
- From the given ratio, we can write: 4y + 3y + z = 0.8x
- Substituting the value of z, we get: 7y + 2 million = 0.8x

Calculation:
- We need to find the number of voters who refrained from voting, i.e., 0.2x.
- Let's solve for x using the above equation: 7y + 2 million = 0.8x
- Rearranging, we get: x = (7y + 2 million)/0.8
- Substituting the value of x in 0.2x, we get:
0.2x = 0.2(7y + 2 million)/0.8
= 1.75(7y + 2 million)
= 12.25y + 3.5 million
- Now, we need to find the value of y to solve for 0.2x.
- From the given ratio, we know that 4y + 3y + z = 7y + 2 million
- Substituting the value of z, we get: 7y + 2 million = 4y + 3y + 2 million
- Simplifying, we get: y = 200,000
- Substituting the value of y in 0.2x, we get:
0.2x = 12.25y + 3.5 million
= 12.25(200,000) + 3.5 million
= 4 million
- Therefore, the number of voters (in millions) who refrained from voting is 4 million.

Therefore, option D is the correct answer.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer?
Question Description
Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer?.
Solutions for Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. 20% of the voters refrained from voting and candidates A, B and C received votes in the ratio 4 :3: 1 respectively. If there were no invalid votes and Candidate C got 2 million votes, then how many voters (in millions) refrained from voting?a)2b)2.4c)3.2d)4e)8Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev