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I don’t quite agree with the solution. There should be an option as 18. I think Proposal Y lose by just 18 votes. If Proposal Y had won 18 more votes, or 88 votes in total, Y would have won the vote as that in this 175-sum game, Proposal X would have received only 87 votes, less than half of the total number of votes.
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I don’t quite agree with the solution. There should be an option as 18. I think Proposal Y lose by just 18 votes. If Proposal Y had won 18 more votes, or 88 votes in total, Y would have won the vote as that in this 175-sum game, Proposal X would have received only 87 votes, less than half of the total number of votes.

“20% of the total votes more” means X got extra votes equal to 20% of all votes, not 20% more than Y’s votes. So the loss isn’t 18, it’s 35. You mixed up the reference point.
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For percentage related questions, assuming total share as 100 units works best for me

In this question we can assume that total share of votes is 100 votes
Assume, Y received "y" votes. Now it is given that X has received "20+y" votes
Since we have assumed that total votes are 100
(y+20)+(y) = 100
therefore, y = 40 and x=60

now comes the fun part!!
Since it is already given that "If Proposal Y received 70 votes". This means - the figure of 40 in our case represents an actual number of 70. (this could be a little hard to imagine at first but bear with me!)
Let's say 1 unit represents 100. With this analogy, how much does 30 units represents ?
we can simply use the unitary method to calculate 30 * 1 unit = 30 * 100

Similarly, here we can say "y=40" means 40 units which represents 70 actual votes
Therefore, x which was 60 units represents = (70/40)*60 actual votes = 105 votes

Hence, the difference between X and Y is 105-70 = 35 actual votes!
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Bunuel bb KarishmaB

I got the number of votes won by both however, Y only needs 18 more votes to actually win the elections right?

X=105
Y=70

Every vote that Y gets, X gets 1 less vote, so didnt he lose the voting by 17.5 votes or 18 votes nearing to the next integer?

Kindly clarify, thankyou!
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Bunuel bb KarishmaB

I got the number of votes won by both however, Y only needs 18 more votes to actually win the elections right?

X=105
Y=70

Every vote that Y gets, X gets 1 less vote, so didnt he lose the voting by 17.5 votes or 18 votes nearing to the next integer?

Kindly clarify, thankyou!

You are overcomplicating. “Lost by how many votes” simply means the vote margin: the number of votes the winner received minus the number of votes the loser received.
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If the question were by how many votes Proposal Y lost "to Proposal X", I believe should be the wording then. If simply asked by how many votes Y lost, it could mean either way IMO.
In this case however, there wasnt any option with 18 and hence I chose 35 as well.
If 18 were one of the options, such questions always entail to losing with respect to the other person?
Bunuel


You are overcomplicating. “Lost by how many votes” simply means the vote margin: the number of votes the winner received minus the number of votes the loser received.
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If the question were by how many votes Proposal Y lost "to Proposal X", I believe should be the wording then. If simply asked by how many votes Y lost, it could mean either way IMO.
In this case however, there wasnt any option with 18 and hence I chose 35 as well.
If 18 were one of the options, such questions always entail to losing with respect to the other person?


There’s no ambiguity here.

“Lost by how many votes” is standard English for the margin of defeat, meaning the difference between the winner’s votes and the loser’s votes. It does not mean “20 percent of Y’s votes,” and it does not depend on phrasing like “to Proposal X.”

If someone interprets “lost by” as anything other than the vote margin, that’s a misreading, not a wording flaw.
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