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# Sixty percent of the people who responded to a company's advertisement

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Intern
Joined: 03 Nov 2018
Posts: 1

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25 Feb 2019, 13:52
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Difficulty:

5% (low)

Question Stats:

93% (01:22) correct 8% (01:36) wrong based on 40 sessions

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Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64
Director
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Joined: 27 Oct 2018
Posts: 746
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)

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25 Feb 2019, 14:33
let x is the total number of respondents
number of people interviewed on the phone = $$3 = \frac{20}{100}*\frac{60}{100}*x$$
so $$x = \frac{3*100*100}{20*60} = 25$$
Director
Joined: 04 Dec 2015
Posts: 734
Location: India
Concentration: Technology, Strategy
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25 Feb 2019, 15:02
martinm91 wrote:
Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64

Let total number of people who responded to advertisement be $$= T$$

$$60$$% of $$T$$ were interviewed on phone $$= \frac{60}{100}*T$$

$$20$$% of $$60$$% of $$T$$ were asked to come to the company for personal interview, that is $$3$$.

Therefore; $$20$$% of $$60$$% of $$T = 3$$

$$\frac{20}{100}*\frac{60}{100}*T = 3$$

$$T = \frac{3*100*100}{20*60} = 25$$

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Joined: 04 Jan 2015
Posts: 3158

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25 Feb 2019, 22:32

Solution

Given:
• 60% of the people who responded to a company’s advertisement for a job opening were interviewed over the phone.
• Among the people who were interviewed over the phone, 20% or 3 people were asked to come for a personal interview.

To find:

Approach and Working:
20% of people called = 3
• Therefore, the number of people called = 3 x 5 = 15

60% of the people responded = 15
• Therefore, the number of people responded = 15 x 5/3 = 25

Hence, the correct answer is option C.

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Joined: 18 Aug 2017
Posts: 5436
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

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26 Feb 2019, 01:08
martinm91 wrote:
Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64

3 people = 20*x/100
x= 15 people called for phone interview
15= 60*x/100
IMO C
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01 Dec 2019, 15:48
Hi All,

We're told that 60% of the people who responded to a company's advertisement for a job opening where interviewed over the phone and 20% of those interviewed over the phone (re: 3 people), were asked to come to the company for a personal interview. We're asked for the total number of people who responded to the advertisement. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.

Let's TEST Answer B first: 20 people
then (.6)(20) = 12 people were interviewed over the phone...
and (.2)(12) = 2.4 people had a personal interview.
This is NOT a match for what we were told (it's supposed to be 3 people, not "2.4 people"). This answer is too small, so we need MORE people to start with. Eliminate Answers A and B.

Under normal circumstances, we would TEST Answer D next.... but that Answer is DOUBLE Answer B (40 vs. 20) and that seems to be a big increase considering how closer 2.4 is to 3. So let's TEST Answer C next...

then (.6)(25) = 15 people were interviewed over the phone...
and (.2)(15) = 3 people had a personal interview.
This IS an exact match for what we were told, so this MUST be the answer!

GMAT assassins aren't born, they're made,
Rich
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Re: Sixty percent of the people who responded to a company's advertisement   [#permalink] 01 Dec 2019, 15:48
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