Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?
A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
The OA is E.
I get the solution as follows,
Let y = 100
z = 120
x = 120*(100-80)/100 = 24
x : y = 24 : 100
i.e. 24%
The correct answer is E.
Please, can anyone explain another way to solve this PS question? Thanks!
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Z is 120% of Y. X is smaller than Z by 80%. What percentage
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BTGmoderatorLU
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GMATGuruNY
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Since Z is 120% of Y, we get:BTGmoderatorLU wrote:Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?
A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
Z/Y = 120/100 = 6/5.
X is 80% less than Z implies that X is 20% of Z:
X/Z = 20/100 = 1/5.
What percentage of Y is X?
X/Y = X/Z * Z/Y = 1/5 * 6/5 = 6/25 = 24/100.
Thus:
X is 24% of Y.
The correct answer is E.
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Jeff@TargetTestPrep
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We can create the equations:BTGmoderatorLU wrote:Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?
A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
Z = 1.2Y
and
X = 0.2Z
Z = X/0.2
Since Z is equal to both 1.2Y and X/0.2, let's set these two quantities equal to each other:
X/0.2 = 1.2Y
X = 1.2Y(0.2)
X/Y = (1.2)(0.2) = (0.24)
Thus, X is 24% of Y.
Answer: E
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Brent@GMATPrepNow
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We can also solve this by assigning values that meet the given conditions.BTGmoderatorLU wrote: ↑Fri Apr 27, 2018 2:07 pmZ is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?
A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
Z is 120% of Y
So, let Z = 120 and let Y = 100
X is smaller than Z by 80%.
In other words, X is 20% of Z
If Z = 120, then X = 20% of 120
So, X = 24
What percentage is X of Y?
24/100 = 24%
Answer: E
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Scott@TargetTestPrep
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We can create the equations:BTGmoderatorLU wrote: ↑Fri Apr 27, 2018 2:07 pmZ is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y?
A. 96%
B. 50%
C. 45%
D. 40%
E. 24%
The OA is E.
I get the solution as follows,
Let y = 100
z = 120
x = 120*(100-80)/100 = 24
x : y = 24 : 100
i.e. 24%
The correct answer is E.
Please, can anyone explain another way to solve this PS question? Thanks!
Z = 1.2Y
and
X = 0.2Z
X/0.2 = Z
Thus:
X/0.2 = 1.2Y
X = 0.24Y
X/Y = 0.24
X/Y * 100 = 0.24 * 100 = 24 percent
Answer: E
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