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In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got?
Options:
A .  2800
B .  2700
C .  2100
D .  2500
Answer: Option B

Answer : Option B

Explanation :

Total number of votes = 7500
Given that 20% of Percentage votes were invalid
=> Valid votes = 80%

$MF#%\text{Total valid votes = }7500 \times \dfrac{80}{100}$MF#%

1st candidate got 55% of the total valid votes.
Hence the 2nd candidate should have got 45% of the total valid votes

$MF#%\begin{align}
&\text{=> Valid votes that 2nd candidate got = total valid votes } \times \dfrac{45}{100}\\
&=7500 \times \dfrac{80}{100}\times \dfrac{45}{100} = 75 \times \dfrac{4}{5} \times 45 = 75 \times 4 \times 9 = 300 \times 9 = 2700
\end{align} $MF#%



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