iwillcrackgmat wrote:

All votes cast in a recent presidential election were for either the incumbent or thechallenger. The challenger received 5.4 million votes and the incumbent received 5million. If after a recount of the votes and the addition of previously uncountedabsentee ballots, the incumbent had 5.2 million votes while the challenger had 5.4million, then the percentage of the total number of votes that were for the challenger

A. decreased by approximately 10 %

B. decreased approximately 1%

C. neither increased nor decreased

D. increased approximately 1%

E. increased approximately 2%

Full algebraic answer:

Before recount and absentee ballots: challenger = 5.4, incumbent = 5, total = 5.4 + 5 = 10.4

After recount and absentee ballots: challenger = 5.4, incumbent 5.2, total 5.4 + 5.2 = 10.6

\(\frac{5.4}{10.6} - \frac{5.4}{10.4}\)

\(\frac{54}{106} - \frac{54}{104}\)

\(\frac{54(104)}{106(104)} - \frac{54(106)}{104(106)}\)

\(\frac{54(104-106)}{106(104)}\)

\(\frac{54(-2)}{106(104)}\)

\(\frac{-108}{11024}\)

\(\frac{-1.08}{110.24}\)

approximately -1%

Answer is B