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
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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.
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.