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# 58 percent were at most 40 years old and 70 percent

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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58 percent were at most 40 years old and 70 percent [#permalink]  01 Feb 2016, 03:37
Expert's post
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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
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

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

Re: 58 percent were at most 40 years old and 70 percent [#permalink]  01 Feb 2016, 03:41
1
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Expert's post
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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Posts: 161
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Re: 58 percent were at most 40 years old and 70 percent [#permalink]  24 May 2018, 12:45
1
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Expert's post
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

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Jeffery Miller

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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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