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In an election, Candidate A received 60% of the total votes while Candidate B received the remaining votes. If the total votes were 5,000, how many votes did Candidate B receive?
1,500
2,400
2,000
3,000 Question ID : 4410091988764 Option 1 ID : 4410097832829 Option 2 ID : 4410097832831 Option 3 ID : 4410097832830 Option 4 ID : 4410097832832 Status : Answered Chosen Option : C
2,000
Since Candidate A got 60%, Candidate B must have received 40% (100% - 60%). Calculate 40% of 5000: 4├Ч500=2000.
Total votes = 5000, Candidate A percentage = 60%, Candidate B percentage = remaining votes.
VBтАЛ=Total├Ч(100%тИТPercentageAтАЛ)
Since Candidate A got 60%, Candidate B must have received 40% (100% - 60%). Calculate 40% of 5000: 4├Ч500=2000.
Students often calculate the votes for Candidate A (60% of 5000 = 3000) and accidentally select that as the final answer instead of calculating the remainder for Candidate B.
Calculate percentage for Candidate B
Since the total is 100% and Candidate A received 60%, Candidate B received the remaining percentage.
100%тИТ60%=40%
Calculate the number of votes
Multiply the total number of votes by Candidate B's percentage share.
VBтАЛ=5000├Ч10040тАЛ=2000
C is correct because Candidate B received 40% of 5000 total votes, which equals 2000.
This concept of 'remaining percentage' is fundamental in Profit/Loss and Mixture problems where you often need to find the balance after a deduction or sale.