In an election involving only 2 candidates, 1… | GMAT Sprint

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PS · Problem Solving

705-805

percent

In an election involving only 2 candidates, 1/9 of the total voters did not cast their vote. 1/11 of the votes polled were declared invalid. The losing candidate got 33.5% of the valid votes polled and lost by 38400 votes. The number of total voters enrolled on the voter list was?

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108000

132000

136000

144000

Correct

156000

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Explanation

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Official Explanation

Official

This is a fraction problem.

It is mentioned in the question that 1/9 of the voters did not cast their vote, which means 8/9 of the voters cast their votes.

Let total voters =

x

.

Casted votes =

\frac{8x}{9}

.

Invalid votes =

\frac{1}{11}

of casted votes =

\frac{8x}{99}

.

Valid votes = casted votes - invalid votes =

\frac{8x}{9} - \frac{8x}{99} = \frac{80x}{99}

.

Losing candidate got 33.5% of valid votes.…

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What this question tests

What it tests

Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.

Common trap

Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.