Question

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, then find the number of valid votes that the other candidate got
1. 2500
2. 1700
3. 2600
4. 2800
5. 2700

Answer 1

Correct Answer - Option 5 : 2700

Given:

Percentage of votes secured by first candidate out of valid votes = 55

Percentage of Invalid votes = 20

Total number of votes = 7500

Calculation:

Given that 20% of votes were invalid

 Then, Valid votes = 100% - 20% = 80%

 Total valid votes = 7500 × (80/100) 

1st candidate got 55% of the total valid votes. 

Hence the 2nd candidate should have got 45% of the total valid votes 

Valid votes that 2nd candidate got = total valid votes x (45/100) 

7500 × (80/100) × (45/100) = 2700

∴ Number of valid votes that the other candidate got = 2700