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18 Apr 2018, 18:21
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:33) correct
21%
(02:09)
wrong
based on 156
sessions
History
Date
Time
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Not Attempted Yet
If X is 60 percent more than Y and Y is 40 percent less than Z, then what percent of Z is X?
(A) 64%
(B) 80%
(C) 96%
(D) 120%
(E) 124%
(A) 64%
(B) 80%
(C) 96%
(D) 120%
(E) 124%
18 Apr 2018, 20:20
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Bunuel
\(X = 1.6Y=1\frac{3}{5}Y=\frac{8}{5}Y\)
\(\frac{5}{8}X = Y\)
\(Y =.60Z=\frac{3}{5}Z\)
\(Y = Y\)
\(\frac{5}{8}X=\frac{3}{5}Z\)
\(X = \frac{3}{5}Z*\frac{8}{5}\)
\(\frac{X}{Z}=\frac{24}{25}\)
"what percent of Z is X?"
REWRITE: X = what percent of Z?
\((\frac{X}{Z}*100)\) From above, \(\frac{X}{Z}=\frac{24}{25}\)
\((\frac{24}{25}*\frac{4}{4}*100)=(\frac{96}{100})*100)=96\)
percent
\(X\) is \(96\) percent of \(Z\)
Answer C
18 Apr 2018, 20:25
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Bunuel
OA:C
X is 60 percent more than Y.
\(X = Y + \frac{60}{100}.Y\)
\(X= \frac{160}{100}.Y\)
\(X= 1.6 Y\) [1]
Y is 40 percent less than Z
\(Y= Z - \frac{40}{100}.Z\)
\(Y= \frac{60}{100}.Z\)
\(Y= 0.6.Z\) [2]
What percent of Z is X will be given by \(\frac{X}{Z}.100\)
Putting value of Y from [2] into [1],we get
\(X= 1.6 * 0.6 Z\)
\(\frac{X}{Z}= 1.6 * 0.6\)
\(\frac{X}{Z}*100 =1.6*0.6*100\)
\(\frac{X}{Z}*100=96\)
