CUET UG 2025 — General Test Arithmetic

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\%$100%−30%=70% of the votes

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The difference in vote percentages between the two candidates is:

$$70\% - 30\% = 40\%$$70%−30%=40%

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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:

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

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

$$\text{Total votes} = \dfrac{500}{0.40}$$Total votes=0.40500​

$$\text{Total votes} = 1250$$Total votes=1250

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