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03 Jul 2025, 18:38
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The correct answer choice is (C) 35
To solve this question, first write out the X and Y plans any further details known about them.
Since each employee only voted for one, we know that the votes for both X and Y must add up to 100%.
Therefore X + Y = 100%
We also know that X had 20% more of the vote than Y, so X = Y + 20%.
In order to calculate either X or Y, one must get all the variables to be the same, so replace X with it's equivalent in terms of Y
(Y+20%) + Y = 100%
2Y + 20% = 100%
2Y = 80%
Y = 70 votes according to the information given, so 2Y = 140
If 140 = 80% and we need to find the 20% that Plan X won by, we can simply divide 140 by 4 to get to 20%
20% of 140 = 35 which is answer choice C
To solve this question, first write out the X and Y plans any further details known about them.
Since each employee only voted for one, we know that the votes for both X and Y must add up to 100%.
Therefore X + Y = 100%
We also know that X had 20% more of the vote than Y, so X = Y + 20%.
In order to calculate either X or Y, one must get all the variables to be the same, so replace X with it's equivalent in terms of Y
(Y+20%) + Y = 100%
2Y + 20% = 100%
2Y = 80%
Y = 70 votes according to the information given, so 2Y = 140
If 140 = 80% and we need to find the 20% that Plan X won by, we can simply divide 140 by 4 to get to 20%
20% of 140 = 35 which is answer choice C
03 Jul 2025, 18:40
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Bunuel
For this question. As you can see their are two proposal X and Y.
Lets consider that Y people voted for second proposal. then X is (Y+20%of Total vote)
So difference is what we need to find.
So we can also write
T= Y +X = Y + (Y+0.2T) = 2Y + 0.2T
NOW WHEN WE SIMPLIFY,
0.8T = 2Y , So, we can also write it as , 0.2T = Y/2 ( 0.2T is 20% of T)
now question asked us to find how many votes did second proposal lost, which means X-Y, but it is nothing but 20% of Total vote. So, our answer is Y/2 = 35
03 Jul 2025, 19:04
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Votes to Proposal X = X
Votes to Proposal Y = Y
Total votes = T = X+Y
X is 0.2T more than Y
>> X = 0.2T + Y
>> X = 0.2(X+Y) + Y
>> X = 0.2X+ 1.2Y
>> 0.8X = 1.2Y
X = 1.5Y = 1.5*70 = 105
So, Y lost by 105-70= 35 votes
Answer is C. 35
Votes to Proposal Y = Y
Total votes = T = X+Y
X is 0.2T more than Y
>> X = 0.2T + Y
>> X = 0.2(X+Y) + Y
>> X = 0.2X+ 1.2Y
>> 0.8X = 1.2Y
X = 1.5Y = 1.5*70 = 105
So, Y lost by 105-70= 35 votes
Answer is C. 35
