In an election, Ram gets 40% of the total votes while Ranu gets 60% of the total votes, if the difference of their votes is 3500, then find the total number of votes?

Options

A. A)15000
B. B)17500
C. C)18500
D. D)8750

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the percentage distribution of votes
- Ram receives 40% of the total votes.
- Ranu receives 60% of the total votes.

### Step 2: Set up the equation for the difference in votes
- The difference in votes between Ram and Ranu is given as 3500.
- Since Ranu has more votes, we can express this as:
\[ \text{Votes of Ranu} - \text{Votes of Ram} = 3500 \]
- In terms of percentages, this can be written as:
\[ 60\% \text{ of Total Votes} - 40\% \text{ of Total Votes} = 3500 \]

### Step 3: Simplify the equation
- The difference in their votes can be simplified:
\[ (60\% - 40\%) \text{ of Total Votes} = 3500 \]
- This simplifies to:
\[ 20\% \text{ of Total Votes} = 3500 \]

### Step 4: Calculate the total number of votes
- To find the total number of votes (let's denote it as \( V \)), we can set up the equation:
\[ 0.20V = 3500 \]
- Now, solve for \( V \):
\[ V = \frac{3500}{0.20} \]
\[ V = 3500 \times 5 = 17500 \]

### Conclusion
- The total number of votes is \( 17500 \).