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58 percent were at most 40 years old and 70 percent

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1653 [0], given: 396

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58 percent were at most 40 years old and 70 percent [#permalink] New post 01 Feb 2016, 03:37
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Question Stats:

88% (01:32) correct 11% (01:16) wrong based on 18 sessions
Of the people in a certain survey, 58 percent were at most 40 years old and 70 percent were at most 60 years old. If 252 of the people in the survey
were more than 40 years old and at most 60 years old, what was the total number of people in the survey?

A 1,900
B 2,100
C 2,400
D 2,700
E 3,000

Practice Questions
Question: 21
Page: 471
Difficulty: medium
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1653 [1] , given: 396

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Re: 58 percent were at most 40 years old and 70 percent [#permalink] New post 01 Feb 2016, 03:41
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Solution

Given that of the people surveyed, 58% were at most 40 years old and 70% were at most 60 years old.

Therefore, 70%−58%, or 12%, of the people surveyed were more than 40 years old and at most 60 years old, and we are given that 252 people are in this group.

Let x be the total number of people in the survey. Then 12% of x is 252, that is, 0.12x=252.

Solving for x we have x = \(\frac{252}{0.12}\)= 2100.

Hence Option B is the right answer.
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Sandy
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Target Test Prep Representative
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Location: United States
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Re: 58 percent were at most 40 years old and 70 percent [#permalink] New post 24 May 2018, 12:45
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sandy wrote:
Of the people in a certain survey, 58 percent were at most 40 years old and 70 percent were at most 60 years old. If 252 of the people in the survey
were more than 40 years old and at most 60 years old, what was the total number of people in the survey?

A 1,900
B 2,100
C 2,400
D 2,700
E 3,000


58 percent were under 41, and 70 percent were under 61 years old. Thus, 70 - 58 = 12 percent were more than 40 years old and at most 60 years old; thus:

0.12n = 252

n = 252/0.12 = 2100

Answer: B
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Jeffery Miller
Head of GRE Instruction

GRE Quant Self-Study Course
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Re: 58 percent were at most 40 years old and 70 percent   [#permalink] 24 May 2018, 12:45
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