Arithmetic

Percentages

Medium

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?

1050

1150

1250

1300

✅ Correct Option: 3

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.

2023: 19 June Shift 1

A monthly bus ticket costs 20 percent more than a single ticket. A week's extension can be had for the former by paying 10% of the monthly ticket's cost. If the money paid for the monthly ticket (with extension) is Rs 660, then the price of the single ticket is :

2025: 3 June Shift 2

A man's wage was reduced by 50%. Again, the reduced wage was increased by 50%. Find his loss in terms of percentage:

2026: 18 May Shift 1

If numerator of fraction is increased by 150% and denominator is increased by 50% the resultant fraction becomes $\frac{15}{16}$ . What was the original fraction?

2022: 8 Aug Shift 1

A boy secures 70%, 40% and 60% marks in test papers with 100, 50 and 150 respectively as maximum marks. The percentage of his aggregate is

2022: 6 Aug Shift 1

What percent decrease in salaries would exactly cancel the 20 percent increase?

2026: 29 May Shift 1

72 % of the students in a school are boys. If the number of girls in the school is 140, then the number of boys in the school is:

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?

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)