Allied & ICAR Exam Bank • ALLIED_2553 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

In an election, 20% of voters did not cast their vote, 120 votes were invalid, and the winner secured 200 votes more than his rival by getting 41% of the total registered voters. The total number of registered voters was:

Answer Key:

4000

Step-by-Step Solution & Explanation

Turnout $= 0.80V$. Valid $= 0.80V - 120$. Winner $= 0.41V$. Loser $= 0.80V - 120 - 0.41V = 0.39V - 120$. Margin $= 0.41V - (0.39V - 120) = 0.02V + 120 = 200 \implies 0.02V = 80 \implies V = 4000$.
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