In an election contested by only two… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

2025mcqmedium

In an election contested by only two candidates, one candidate got 30% of the total votes cast and lost by 500 votes. Determine the total number of votes that were cast in the elections?

Official previous-year question

Held on 23 May 2025 · Verified 13 Jul 2026.

Options

A
1050
B
1150
C
1250
D
1300

Did you get this right?

Solution

The election has only two candidates. One candidate got 30% of the total votes and lost by 500 votes.

Since there are only two candidates, the winner received:

$100\% - 30\% = 70\%$ of the votes

The difference in vote percentages between the two candidates is:

$70\% - 30\% = 40\%$

The loser lost by 500 votes, which represents the difference in actual votes between the two candidates.

This means 40% of the total votes equals 500 votes:

$40\% \times \text{Total votes} = 500$

$0.40 \times \text{Total votes} = 500$

$\text{Total votes} = \dfrac{500}{0.40}$

$\text{Total votes} = 1250$

Therefore, the total number of votes cast in the election is 1250.

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