Election Votes Distribution
CAT 2022 Slot 2 · Quantitative Ability · Easy · Arithmetic
This is an easy Quantitative Ability question from the CAT 2022 Slot 2 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
- A.
40192
- B.
60288
- C.
50240
- D.
62800
D
Explanation
Let total casted votes be . Candidate 1 receives of . Remaining votes = of . These are divided among Candidates 2, 3, 4 in ratio . Shares: , , . So the votes percentages of the 4 candidates are . The winner receives of . The second highest candidate receives of . Difference = of . . Since 80% of registered voters () casted votes: .
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