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QOTD#25 Evangeline must spend of her weekly salary on rent a

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1606 [0], given: 375

CAT Tests
QOTD#25 Evangeline must spend of her weekly salary on rent a [#permalink] New post 30 Apr 2017, 14:14
Expert's post
00:00

Question Stats:

44% (01:18) correct 55% (01:32) wrong based on 9 sessions
Evangeline must spend \(\frac{3}{8}\) of her weekly salary on rent and \(\frac{1}{6}\) of her remaining salary on food. Which of the following could be percentages of her weekly salary that Evangeline devotes to entertainment, while still enabling her to place \(\frac{4}{9}\) of her salary into a savings account?

Indicate all such percentages.

A. 0.5%
B. 5.0%
C. 7.5%
D. 10.0%
E. 15.0%
F. 25.0%
G. 50.0%

[Reveal] Spoiler: Answer
A, B, C


Drill 4
Question: 13
Page: 323
[Reveal] Spoiler: OA

_________________

Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1606 [0], given: 375

CAT Tests
Re: QOTD#25 Evangeline must spend of her weekly salary on rent a [#permalink] New post 04 May 2017, 01:35
Expert's post
Explanation

The problem has percents in the answers and no real values in the question, so it’s a Hidden Plug In; the hidden variable in this case is Evangeline’s weekly salary.

To find an easy number, try multiplying the denominators in the problem: \(8 \times 6 \times 9 = 432\), so Evangeline makes \($432\)per week. Now work the problems in bite-sized pieces.

She spends \(\frac{3}{8} \times $432 = $ 162\) on rent, leaving her with \($432 - $162 = $270\).

Of that, she spends , \(\frac{1}{6}\) or $45, on food, leaving her with \($270 - $45 = $225\).

If she wants to put \(\frac{4}{9}\) of her weekly salary, or $192, into a savings account, then she can only spend \($225 - $192 = $33\) on entertainment.

Finally, use your onscreen calculator to determine that 33 is just over 7.6% of 432, so choices (A), (B), and (C) will all work.
_________________

Sandy
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Re: QOTD#25 Evangeline must spend of her weekly salary on rent a   [#permalink] 04 May 2017, 01:35
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QOTD#25 Evangeline must spend of her weekly salary on rent a

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