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A contractor undertakes to do a job within 100 days and hires 10 peopl

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Manager
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Joined: 31 Jul 2017
Posts: 209
Location: Tajikistan
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Re: A contractor undertakes to do a job within 100 days and hires 10 peopl  [#permalink]

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New post 14 Sep 2018, 06:13
1
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days will the work get over?
(A) 60
(B) 70
(C) 75
(D) 80
(E) 100


A,D,E are out for obvious reasons. Now, we are left with B and C. If contractor doesn't fire any worker, then it will take them 60 days, but since he is firing 2 workers (or 20%), the work will be slowed down by 20% as well. So 60 days is 80%, 75 days is 100%
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Joined: 26 Jul 2017
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Concentration: Strategy, Organizational Behavior
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Re: A contractor undertakes to do a job within 100 days and hires 10 peopl  [#permalink]

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New post 16 Sep 2018, 11:21
We can also use the percentage method if someone is comfortable with it.

So we know that 25% (one fourth) work is done in 20 days. Which means that 1.25% work is done in a day. And .125% work was done by 1 person (since there were 10 people ). Now we have 8 people and not 10 so the total work done in a day will be .125%*8 = 1%. We know that since 3/4 work is done which is 75% and 1% work is done on daily basis it will take 75 more days. Hence Answer is (c)
Intern
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Joined: 26 Jul 2017
Posts: 6
Location: Pakistan
Concentration: Strategy, Organizational Behavior
Schools: IMD '21 (S)
GPA: 2.25
WE: Consulting (Consulting)
Re: A contractor undertakes to do a job within 100 days and hires 10 peopl  [#permalink]

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New post 16 Sep 2018, 11:22
We can also use the percentage method if someone is comfortable with it.

So we know that 25% (one fourth) work is done in 20 days. Which means that 1.25% work is done in a day. And .125% work was done by 1 person (since there were 10 people ). Now we have 8 people and not 10 so the total work done in a day will be .125%*8 = 1%. We know that since 3/4 work is done which is 75% and 1% work is done on daily basis it will take 75 more days. Hence Answer is (c)
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Re: A contractor undertakes to do a job within 100 days and hires 10 peopl   [#permalink] 16 Sep 2018, 11:22

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A contractor undertakes to do a job within 100 days and hires 10 peopl

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