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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A positive number x is decreased by 60% and the result is increased by
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21 Jun 2022, 09:56
21 Jun 2022, 09:56
Expert Reply
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Question Stats:
50% (00:54) correct
50% (01:33) wrong based on 2 sessions
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A positive number x is decreased by 60% and the result is increased by 80%. If y is the value after these 2 operations, which of the following gives x in terms of y ?
A. 18/25*y
B. 5/60*y
C. 6/5*y
D. 25/18*y
E. 25/12*y
A. 18/25*y
B. 5/60*y
C. 6/5*y
D. 25/18*y
E. 25/12*y
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: A positive number x is decreased by 60% and the result is increased by
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26 Jun 2022, 21:21
26 Jun 2022, 21:21
Expert Reply
A positive number x is decreased by 60%:
\(x*\frac{4}{10} = \frac{4}{10}x\)
This is increased by 80% with the result being y:
\(y = \frac{4}{10}x * \frac{18}{10}\)
\(y = \frac{2}{5}x * \frac{9}{5}\)
\(y = \frac{18}{25}x\)
\(x = \frac{y}{\frac{18}{25}}\)
\(x = y * \frac{25}{18}\)
\(x = \frac{25}{18}y\)
Answer D
\(x*\frac{4}{10} = \frac{4}{10}x\)
This is increased by 80% with the result being y:
\(y = \frac{4}{10}x * \frac{18}{10}\)
\(y = \frac{2}{5}x * \frac{9}{5}\)
\(y = \frac{18}{25}x\)
\(x = \frac{y}{\frac{18}{25}}\)
\(x = y * \frac{25}{18}\)
\(x = \frac{25}{18}y\)
Answer D
gmatclubot
Re: A positive number x is decreased by 60% and the result is increased by [#permalink]
26 Jun 2022, 21:21
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