Question : In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for the losing candidate?
Option 1: 38500
Option 2: 11550
Option 3: 26950
Option 4: 13550
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Correct Answer: 11550
Solution : If one candidate received R% of the total votes, then the other candidate received (100 – R)%. The winning candidate got 70% votes, then the losing candidate got 30% votes. The candidate won by 15400 votes. Difference = 70% – 30% = 40% of the votes polled Given, 40% = 15400 votes, So, 1% = $\frac{15400}{40}$ = 385 votes The number of votes received by the losing candidate = 30% of the votes polled = 30 × 385 = 11550 votes Hence, the correct answer is 11550.
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