In an election, 25% of the votes were invalid. The winner got 56% of the valid votes and defeated the other candidate by 1800 votes. What was the total number of votes? MCQ with Answer and Explanation

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In an election, 25% of the votes were invalid. The winner got 56% of the valid votes and defeated the other candidate by 1800 votes. What was the total number of votes?

A. 20000

B. 22000

C. 18000

D. 15000

Answer: Option A

Solution (By JKExamLibrary)

Valid votes V = 0.75T. Winner = 0.56V, loser = 0.44V, margin = 0.12V = 1800 → V=15000 → T=20000.

This question belongs to: Maths Percentage

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Question #1 Report Error

In an election, 10% of the votes were invalid. The winning candidate got 60% of the valid votes and won by a majority of 1800 votes. What was the total number of votes?

A. 8000

B. 9000

C. 12000

D. 10000

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Correct Answer: Option D

Explanation:
Valid votes V = 0.9T. Winner got 0.6V = 0.54T, loser 0.4V = 0.36T, margin 0.18T = 1800 → T = 10000.

This question belongs to: Maths Percentage