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SSC CPO 2024 PYQ — Question 129

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q129

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In an election between two candidates, 10% of the voters did not cast their votes and 75 votes were found invalid. The winner got 50% of the total votes expected and won by 170 votes. How many voters were enrolled in the voters’ list?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 950.

Let the number of voters enrolled in the voters' list be x

Let the number of votes received by the winning and the losing candidates be A and B respectively

Given that

A - B = 170

Also, A received 50% of the total votes expected = x2\frac{x}{2} 

Total votes cast = 0.9x - 75

Hence, A + B = 0.9x - 75

Substituting the values of A in the given 2 equations we get

x2\frac{x}{2} - B = 170 and x2\frac{x}{2} + B = 0.9x - 75

Solving for x and B we get 

x = 950 and B = 305

Hence, 950 voters were enrolled in the voters' list.