In an election a candidate was elected by securing 55% of the votes cast. If the elected candidate got 1,000 votes more than his only rival, how many votes were

In an election a candidate was elected by securing 55% of the votes cast. If the elected candidate got 1,000 votes more than his only rival, how many votes were cast?

In an election a candidate was elected by securing 55% of the votes cast. If the elected candidate got 1,000 votes more than his only rival, how many votes were cast? ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Nihar Afrin

5,500

7,250

10,000

12,500

0 23

Institution: Bank Asia Ltd Exam: Bank Asia Ltd - Management Trainees - 17.06.2011 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

Let's analyze the options and solve:

5,500: If the total votes were 5,500 and the winner got 55%, then the loser would have gotten 45%. A difference of 1000 votes in a total of 5500 (winner's votes) + 4500 (loser's votes) = 10000 votes is a 10% difference, which is too high. Eliminate 5,500.
7,250: Similar logic as above. If the total votes were 7,250, the winner would have gotten 4025 votes and the loser 3225. A difference of 1000 votes is a 14.2% difference, again too high. Eliminate 7,250.
10,000: This seems like a good possibility. Let's test it:
- Winner: 55% of 10,000 = 5,500 votes
- Loser: 45% of 10,000 = 4,500 votes
- Difference: 5,500 - 4,500 = 1,000 votes

This scenario perfectly matches the information given.

12,500: Similar to option 1, the difference of 1000 votes becomes a smaller percentage (8%) of the total votes, making it less likely. Eliminate 12,500.

Therefore, the total number of votes cast in the election is 10,000.

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