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

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

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New post 25 Feb 2019, 13:52
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Question Stats:

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

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New post 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 \(x = \frac{3*100*100}{20*60} = 25\)
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Re: Sixty percent of the people who responded to a company's advertisement  [#permalink]

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New post 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 \(T = 3\)

\(\frac{20}{100}*\frac{60}{100}*T = 3\)

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

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

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New post 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:
    • 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.

Answer: C

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

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New post 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
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] 26 Feb 2019, 01:08
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