Re: In an Election, Xandra got 33% more votes than Yasmin and Yasmin go
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06 Dec 2024, 14:41
We know in an election, Xandra got $\(33 \frac{1}{3} \%\)$ more votes than Yasmin and Yasmin got $\(25 \%\)$ less than Zelia; we need to compare the number of vote received by Xandra with $\(8 \%\)$ of votes received by Zelia.
Let the number of votes received by Xandra, Yasmin \& Zelia be X, Y \& Z respectively
Since Xandra got $\(33 \frac{1}{3} \%\)$ more votes than $Y$ asmin, we get $\(X=Y+33 \frac{1}{3} \% \times Y \Rightarrow X=Y+\frac{Y}{3}\)$ i.e. $\(X=\frac{4}{3} Y \Rightarrow X: Y=4: 3\)$.
Also as Yasmin got 25\% less votes than Zelia, we get $\(Y=Z-25 \% \times Z$ i.e. \)$\(Y=\frac{3}{4} Z \Rightarrow Y: Z=3: 4\)$
Combining (1) \& (2), we get $\(X: Y: Z=4: 3: 4\)$
Clearly Xandra \& Zeila got the same number of votes, so $\(8 \%\)$ of the votes received by Zeila must be less than the number of votes received by Xandra.
Hence column A has higher quantity, so the answer is (A).