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In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes. If the remaining 15000 votes were inva
Question

In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes.
If the remaining 15000 votes were invalid, find the total number of votes polled.

A.

50000

B.

60000

C.

40000

D.

75000

Correct option is B

Given
Votes for Candidate A = 45%
Votes for Candidate B = 30%
Invalid votes = 15000

Formula Used
Total percentage of votes = 100%
Invalid votes percentage = 100% - (Votes of A %+Votes of B %) (\text{Votes of A } \% + \text{Votes of B } \%)​​

Solution
Calculate the total percentage of valid votes received by both candidates:
45% + 30% = 75%
100% - 75% = 25%
This means 25% of the total votes equals 15000.
Let the total number of votes be x.
25100×x=15000 x=15000×10025 x=60000\frac{25}{100} \times x = 15000\\\ \\x = \frac{15000 \times 100}{25}\\\ \\x = 60000​​

Final Answer
So the correct answer is (b)

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