Question:
In an election between two candidates, the winner secured 60% of the total valid votes and won by a margin of 900 votes. Find the total number of valid votes.
In an election between two candidates, the winner secured 60% of the total valid votes and won by a margin of 900 votes. Find the total number of valid votes.
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The winning margin equals (60% - 40%) of the total.
Updated On: Jul 8, 2026
- 3600
- 4000
- 4500
- 5400
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The Correct Option is C
Solution and Explanation
Step 1: Express both shares.
Winner \(= 60\%\), loser \(= 40\%\) of the total \(T\).
Step 2: Set up the margin equation.
\[60\% \text{ of } T - 40\% \text{ of } T = 900\] \[0.20\,T = 900\] Step 3: Solve.
\[T = \dfrac{900}{0.20} = \boxed{4500}\]
Winner \(= 60\%\), loser \(= 40\%\) of the total \(T\).
Step 2: Set up the margin equation.
\[60\% \text{ of } T - 40\% \text{ of } T = 900\] \[0.20\,T = 900\] Step 3: Solve.
\[T = \dfrac{900}{0.20} = \boxed{4500}\]
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