← Quantitative Aptitude

Percentage & Election — Questions with Solutions

1 solved Percentage & Election questions from Quantitative Aptitude, as asked in SSC CGL and other SSC exams. Read the answer and explanation below, then practise the full set in the practice section.

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Q1. In an election, 80% of eligible voters cast their votes. Of these votes, 5% were declared invalid. If a winning candidate received 11,400 votes, which accounted for 60% of the total valid votes, what was the total number of eligible voters enrolled in that election?

एक चुनाव में, 80% योग्य मतदाताओं ने अपने मत डाले हैं। इनमें से 5% मत अवैध घोषित कर दिए जाते हैं। यदि एक विजयी उम्मीदवार को 11,400 मत मिले हैं, जो कुल वैध मतों का 60% है, तो उस चुनाव में नामांकित कुल योग्य मतदाताओं की संख्या कितनी थी?

  1. A. 20000
  2. B. 22500
  3. C. 25000
  4. D. 27500

Solution

Let total voters be V. Cast votes = 0.80*V. Valid votes = 0.95 * 0.80*V = 0.76*V. Winning candidate = 0.60 * 0.76*V = 11400 -> 0.456*V = 11400 -> V = 25000.