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

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Re: Sixty percent of the people who responded to a company's advertisement [#permalink]

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:
• The number of people responded to the original advertisement.

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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Re: Sixty percent of the people who responded to a company's advertisement [#permalink]
martinm91
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
x = 25 ; had applied /responded to ad
IMO C
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Re: Sixty percent of the people who responded to a company's advertisement [#permalink]
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
IF.... 20 people responded to the advertisement...
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...

Answer C: 25 people
IF.... 25 people responded to the advertisement...
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]
1
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martinm91
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

We can create the following equation:

0.6 x 0.2 x T = 3

0.12T = 3

12T = 300

T = 25

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Re: Sixty percent of the people who responded to a company's advertisement [#permalink]
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Re: Sixty percent of the people who responded to a company's advertisement [#permalink]
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