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Quantitative Aptitude
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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. Find the total number of votes polled.

A
17,800
B
19,500
C
15,600
D
18,900
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. Find the total number of votes polled.
Correct Answer
18,900
[Percentage Distribution Framework]: In a stark two-way contest without invalid votes, the total voting pool acts as exactly 100%. If the losing candidate comma......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Quantitative Aptitude
Chapter -
Ref. Topic Percentages
Pg. No -
💡 Analysis & Explanation
[Percentage Distribution Framework] ▼
In a stark two-way contest without invalid votes, the total voting pool acts as exactly 100%. If the losing candidate commands 48%, simple deduction means the winning candidate captured the remaining 52% (100% - 48%).
[Margin Analysis] ▼
The electoral victory is defined by the mathematical gap between these two shares. The winning margin in terms of percentage is 52% - 48% = a narrow 4%.
[Equating Metrics] ▼
The problem explicitly translates this 4% theoretical margin into a hard, physical reality of exactly 756 actual votes. Thus, 4% of Total Votes = 756.
[Total Value Extrapolation] ▼
To calculate the 100% total, we construct the equation: (4/100) × Total = 756. Moving terms, Total = 756 × (100/4). Simplifying, this equals 756 × 25, which gives 18,900.
Conclusion ▼
A total of 18,900 valid votes were officially cast.
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