In an election contest between A and B, A wins by the margin of 480votes. If A gets 70% ofthetotal votes. then total votes are

Options

A. 1400
B. 1200
C. 4800
D. 1600

Answer

To solve the problem, we need to determine the total number of votes in an election where candidate A wins by a margin of 480 votes and receives 70% of the total votes.

### Step-by-Step Solution:

1. **Define Variables**:
Let the total number of votes be represented as \( V \).

2. **Calculate Votes for A and B**:
- Since A receives 70% of the total votes, the number of votes A receives is:
\[ \text{Votes for A} = 0.7V \]
- Consequently, B receives the remaining 30% of the total votes:
\[ \text{Votes for B} = 0.3V \]

3. **Determine the Margin of Victory**:
- The margin by which A wins over B is given as 480 votes. Therefore, we can set up the equation:
\[ \text{Votes for A} - \text{Votes for B} = 480 \]
- Substituting the expressions for votes:
\[ 0.7V - 0.3V = 480 \]

4. **Simplify the Equation**:
- Combine the terms on the left side:
\[ 0.4V = 480 \]

5. **Solve for Total Votes (V)**:
- To find \( V \), divide both sides by 0.4:
\[ V = \frac{480}{0.4} \]
- Calculating the right side:
\[ V = 1200 \]

### Conclusion:
The total number of votes in the election is **1200**.