Question : 2 candidates contested an election. The winning candidate got 52% of the valid votes and won by a margin of 360 votes. If 10% of votes were declared invalid, then what was the total number of votes polled?
Option 1: 11,000
Option 2: 10,000
Option 3: 8,000
Option 4: 12,000
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Correct Answer: 10,000
Solution : The winning candidate received 52% of the valid votes. The winning candidate won by a margin of = 360 votes. Percent of the votes were declared invalid = 10% Let the total number of votes polled be denoted as "T" Let the number of valid votes be denoted as "V" = 90% of T Let the number of votes received by the winning candidate be denoted as "W" = 52% of V Let the number of votes received by the losing candidate be denoted as "L" = 48% of V $\because$ The winning candidate won by a margin of 360 votes, we have: Substituting the values of W and L in the equation W - L = 360, we get: = $(\frac{52}{100}) \times \text{V} - (\frac{48}{100}) \times \text{V} = 360$ Simplifying the above equation, we get: ⇒ $(\frac{4}{100}) \times \text{V}$ = 360 ⇒ V = $\frac{360 \times 100}{4}$ ⇒ V = 9000 Therefore, the total number of votes polled is: T = $\frac{\text{V}}{0.9}$ (since valid votes are 90% of total votes) ⇒ T = $\frac{9000}{0.9}$ ⇒ T = 10000 $\therefore$ The total number of votes polled is 10,000. Hence, the correct answer is 10,000.
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Question : In an election between 2 candidates, the winning candidate gets 2940 valid votes, while the losing candidate gets 40% of the valid votes. If 2% of the votes polled were declared invalid, then what is the total number of votes polled?
Option 1: 4500
Option 2: 5000
Option 3: 6000
Option 4: 5500
Question : Two persons contested an election of Parliament. The winning candidate secured 57% of the total votes polled and won by a majority of 42,000 votes. The number of total votes polled is:
Option 1: 5,00,000
Option 2: 6,00,000
Option 3: 3,00,000
Option 4: 4,00,000
Question : In an election between 2 candidates, the winning candidate got 55% of the valid votes. 5% of the total votes were invalid. If the total number of votes polled was 10000, then how many votes were obtained by the losing candidate?
Option 1: 4425
Option 2: 4625
Option 3: 4550
Option 4: 4275
Question : In an election between two candidates, the total number of votes polled was ' y '. 40 % of votes were invalid. The winning candidate got 60 % of the valid votes, while the other candidate lost by 6000 votes. Find the value of ' y '.
Option 1: 45000
Option 2: 50000
Option 3: 40000
Option 4: 30000
Question : In an election between 2 candidates, 5% of the votes were invalid. The winning candidate got 2200 votes and the losing candidate got 1600 votes. The losing candidate got what percentage of the total votes cast?
Option 1: 35%
Option 2: 30%
Option 3: 45%
Option 4: 40%
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