In an election Ram and sham were two candidates. Ram got 54% of the votes cast and secured the majority of 250 votes. If none of the votes cast were invalid, find the number of vote cast?
number of votes cast --- x
.54x = 250
x = 250/.54 = ....
round to the nearest whole number
To find the number of votes cast, we need to use the information given in the question. Let's break down the problem step by step:
1. We know that Ram got 54% of the votes cast. This means that Ram's share of the votes is 54/100 or 0.54 of the total votes cast.
2. We also know that Ram secured the majority of 250 votes. This means that the difference between the number of votes Ram received and the number of votes Sham received is 250.
3. Let's assume the total number of votes cast is "X."
- Ram received 0.54X votes.
- Sham received (1 - 0.54)X = 0.46X votes.
- Since Ram secured the majority of 250 votes, we can write the equation: 0.54X - 0.46X = 250.
4. Solving the equation, we get:
- 0.08X = 250.
- Dividing both sides by 0.08, we have X = 250 / 0.08.
- X = 3125.
Therefore, the number of votes cast in the election was 3125.