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, the number of valid votes that the other candidate got, was :

Options

A. 2900
B. 3100
C. 2700
D. 2500

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the number of invalid votes
We know that 20% of the total votes were invalid. The total number of votes is 7500.

\[ \text{Invalid Votes} = 20\% \text{ of } 7500 = \frac{20}{100} \times 7500 = 1500 \]

### Step 2: Calculate the number of valid votes
To find the number of valid votes, we subtract the number of invalid votes from the total votes.

\[ \text{Valid Votes} = \text{Total Votes} - \text{Invalid Votes} = 7500 - 1500 = 6000 \]

### Step 3: Calculate the votes received by the winning candidate
The winning candidate received 55% of the valid votes.

\[ \text{Votes for Winning Candidate} = 55\% \text{ of } 6000 = \frac{55}{100} \times 6000 = 3300 \]

### Step 4: Calculate the votes received by the other candidate
To find the votes received by the other candidate, we subtract the votes received by the winning candidate from the total valid votes.

\[ \text{Votes for Other Candidate} = \text{Valid Votes} - \text{Votes for Winning Candidate} = 6000 - 3300 = 2700 \]

### Final Answer
The number of valid votes that the other candidate got is **2700**.

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