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07 Nov 2019, 01:48
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A
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Difficulty:
35%
(medium)
Question Stats:
74% (02:25) correct
26%
(02:49)
wrong
based on 333
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The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A. 15.2%
B. 16.0%
C. 20.0%
D. 23.2%
E. 24.8%
Are You Up For the Challenge: 700 Level Questions
A. 15.2%
B. 16.0%
C. 20.0%
D. 23.2%
E. 24.8%
Are You Up For the Challenge: 700 Level Questions
07 Nov 2019, 08:20
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Bunuel
Let's test values that satisfy the given information.
y is 20 percent greater than z
Let's say y = 120 and z = 100
x is 20 percent greater than y
So, x is 20 percent greater than 120
In other words, x = (1.2)(120) = 144
w is 20 percent less than x
So, w is 20 percent less than 144
20% of 144 = 28.8
So, w = 144 - 28.8 = 115.2
What percent greater than z is w ?
In other words, 115.2 is what percent greater than 100 ?
Answer = 15.2% = A
Cheers,
Brent
General Discussion
07 Nov 2019, 07:15
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x:y=6:5
y:z=6:5
w:x=4:5
x:y:z:w= 5*6*6 : 5*5*6 : 5*5*5 : 4*6*6= 180:150:125:144
\(\frac{w-z}{z}*100\)= \(\frac{144-125}{125}*100\)= 15.2%
y:z=6:5
w:x=4:5
x:y:z:w= 5*6*6 : 5*5*6 : 5*5*5 : 4*6*6= 180:150:125:144
\(\frac{w-z}{z}*100\)= \(\frac{144-125}{125}*100\)= 15.2%
Bunuel
