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705-805 Level|   Word Problems|         
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Aabhash777
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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 22:39
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Say Total = T
Y = 70
X= 70 + 0.2T

Then
X+Y=T
70+0.2T+70=T
T = 175

X = 70 + (0.2 *175) = 70 + 35

Ans C IMO 35
Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 22:44
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40% of x = 70

by how many it lost = 20% (given fact)
20% of x = 70 * 20%/ 40% = 35
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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 22:55
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Completely translate the question words into mathematical equation, i.e.
x = 0.2(x+y) + y

y = 70

=> x = 105

Question is 'by how many votes did it lose'? : x-y = 105 - 70 = 35 (C)
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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 22:57
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Proposal X received 20% more votes than Proposal Y. So,
X = Y + 20% of Total Votes – (1)
Y = TV – X
Putting the value of Y = 70 and substituting the value of X from Eqn 1
We get TV (Total Votes)= 175
So, the number of votes X received was = 175-70 = 105
So, the difference between the votes for Proposal X and Proposal Y = 105 – 70 =
35
Ans – 35 [C]
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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 23:43
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Proposal X = x votes
Proposal Y = 70 votes

(x-70)/(70+x) = 0.2

x = 105

Y proposal loose by 35 votes
Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 03 Jul 2025, 23:49
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Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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Proposal X received 20% of the total votes more than Proposal Y
Total votes= 100%
This means X received 60% of the total votes and Y received 40% of the total votes.

Y received 70 votes.
Then,
40% of Total =70
=> Total = 175 votes.

=> X received:
60% of 175= 105 votes

=> Y lost by = 105-70
=35 votes.

ANSWER C
35
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In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

Proposal Y= Y
Proposal X= x


x= 1.2% of y

20% of Y is the difference by how much x was more than Y

20% of Y = 14

so the answer is A
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Y: 70 votes
X: 0.2*Total votes + 70 votes
X+Y= Total votes
0.2*Total votes + 70 + 70 = Total votes
0.8Total votes = 140
Total votes = 175
No of votes Y loses = Total votes - y votes
= 175-70
=105 votes
Hence, D.
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C. 35

Let's assume votes received are x and y respectively
Total votes = x+y
According to the question
x got 20% votes of the total more than y, so

x = y + (x+y)*0.2

substituting y = 70
x = 105

y lost by x-y=35 votes
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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 04 Jul 2025, 01:30
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Proposal Y received 70 votes, and Proposal X’s edge amounted to twenty percent of the entire vote. In numerical terms, that margin gives X a total of 105 votes, so Y’s 70 votes fell short by 35.

Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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GMAT Club Olympics 2025 (Day 4): In a company-wide vote between two 04 Jul 2025, 01:56
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Total votes, T=x+y.
Given, y=70.
So, T=x+70

Also,
\(\implies x=y+20\%T\)
\(\implies x=70+0.2(x+70)\)
\(\implies x=84+0.2x\)
\(\implies x=105\)

So, the number of votes Y lost by = 105-70 = 35.
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Let total votes be T.
We know that X got 20% of T more than Y,
-> X = Y + 0.2 T.
But X + Y = T,
-> T – Y = Y + 0.2 T
-> 0.8 T = 2 Y
-> T = 2.5 Y or 2.5 x 70 = 175.
Then X = 175 – 70 = 105, so X – Y = 105 – 70 = 35.
Proposal Y lost by 35 votes
Answer: C
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Proposal X must be 60% and Proposal Y must be 40%

if 40% is 70, then 60% is 60*70/40=105.

105-70=35

IMO C
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Let total votes = v
Proposal x received 20% more of the total votes than y: x = y + 0.2v = 70 + 0.2v

Total votes = X + Y = (70+0.2v)+ 70 = 140 + 0.2v v=140+0.2v
0.8T = 140
v= 175

x= 175 - 70 = 105
Loss margin = 105-70 = 35.

Option C
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Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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Given that, X received 20% more voted than Y.

so, X = (120/100)*Y
X = (12/10)*y

Also, given that Y received 70 votes

So, Y=70

therefore, X = (12/10)*70
X = 12*7
X = 84

now, we need to find the difference between the votes received for X and Y,
So, Difference = X-Y = 84-70 = 14
Difference = 14

ANS= Option A
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x=1/5(x+y)+y
4/5x=6/5y
x=3/2y
35*3=105
This y is 35 less
And C
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Given:
  • Proposal Y = 70 votes
  • Proposal X got 20% more of the total votes than Y
Let total votes = T
Then:
  • X = 70+0.2T
  • X + Y = T → (70+0.2T)+70=T
    → 140+0.2T=T → 0.8T=140 → T=175
So,
  • X = 175−70=105
  • Difference = 105−70=35
    #Answer=[35]

Bunuel
In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


 


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If there were only two proposals & one of the proposals received 20% more votes than the first proposal, then if we consider the lower % proposal Y to be x% & the other one be (x+20)%.

The sum total of both comes out to be equal to 100%, hence x+x+20=100.

2x+20=100
2x=80
x=40

So Proposal Y received 40% of the votes, which means that

40/100*Total votes = 70
Total Votes = 70*100/40 = 175 votes

Therefore Proposal X received 175-70=105 votes. This means that Proposal Y lost by 105-70 = 35 votes

The correct answer is option (C) 35
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[quote="Bunuel"]In a company-wide vote between two project proposals, each employee voted for exactly one proposal. Proposal X received 20% of the total votes more than Proposal Y. If Proposal Y received 70 votes, by how many votes did it lose?

A. 14
B. 28
C. 35
D. 105
E. 140


Let project Y received a votes, then project X must have received 1.2a votes.
a is given 70 then Project X must have received 84. answer 84-70=14
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Let me solve this quickly:
Proposal Y got 70 votes.
Proposal X got 20% more than Y.
20% of 70 = 14
So Proposal X got 70 + 14 = 84 votes
Y lost by: 84 - 70 = 14 votes
Answer: A. 14
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