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Q64·CSAT · Prelims 2022

Calculating total voters based on voting percentage and winning margin

NumericalPercentages (Elections)Factual single● Medium

Question

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

Options

a

15000

Answer
b

12000

c

9600

d

5000

Explanation

Let the total number of eligible voters on the list be V. Total votes actually cast = 0.80V.

Since X secured 56\% of the cast votes, candidate Y secured the remaining 100\% - 56\% = 44\% of the cast votes.

The margin of victory is the percentage difference between the two candidates: Margin = 56\% - 44\% = 12\% of the cast votes.

Set up the equation using the raw numerical margin provided (1440): 0.12 × (0.80V) = 1440 0.096V = 1440 V = 1440/0.096 = 1440000/96 = 15000.

In election puzzles featuring turnout percentages, ensure the victory margin (X\% - Y\%) is calculated as a fraction of the cast votes, not the absolute registry list, before applying the final turnout multiplier.

Answer: (a).

Question details

Year

2022

Paper

CSAT

Question

Q64

Section

Numerical Ability

Sub-topic

Percentages (Elections)

Type

Factual single

Difficulty

Medium

Source hint

Election X and Y, 80% cast vote

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