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A worker is hired for 7 days. He is paid 25$ more for each day of work

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A worker is hired for 7 days. He is paid 25$ more for each day of work [#permalink]

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New post 06 Oct 2017, 09:41
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Difficulty:

  45% (medium)

Question Stats:

67% (01:18) correct 33% (00:48) wrong based on 27 sessions

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A worker is hired for 7 days. He is paid 25$ more for each day of work than he was paid for the preceding day of work.
What was the total amount that he was paid for his 7 days of work?

1. He had made 40% of the total by the end of the fourth day.
2. He was paid thrice as much for the last day as he was paid for the first day.

Source : Wizako GMAT
[Reveal] Spoiler: OA

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Re: A worker is hired for 7 days. He is paid 25$ more for each day of work [#permalink]

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New post 06 Oct 2017, 10:15
pushpitkc wrote:
A worker is hired for 7 days. He is paid 25$ more for each day of work than he was paid for the preceding day of work.
What was the total amount that he was paid for his 7 days of work?

1. He had made 40% of the total by the end of the fourth day.
2. He was paid thrice as much for the last day as he was paid for the first day.

Source : Wizako GMAT


Basically the wage per day is an AP series with a common difference of 25. So let the first day wage be x

so total wages for 7 days is = x + (x+25) + (x+50) + (x+75) + (x+100) + (x+125) + (x+150) = 7x+525

Alternatively, you can use the AP formula for finding the sum. We need to find the value of x to know the total amount

Statement 1: implies 40%*(7x+525)=x + (x+25) + (x+50) + (x+75). We can calculate the value of x from this equation, hence Sufficient

Statement 2: implies 3x=x+150. We can calculate the value of x from this equation, hence Sufficient

Option D

Hi pushpitkc

the two statements are leading to two different values. Can you confirm whether the question is framed correctly or whether there is a flaw in my solution

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Re: A worker is hired for 7 days. He is paid 25$ more for each day of work [#permalink]

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New post 06 Oct 2017, 10:41
pushpitkc wrote:
A worker is hired for 7 days. He is paid 25$ more for each day of work than he was paid for the preceding day of work.
What was the total amount that he was paid for his 7 days of work?

1. He had made 40% of the total by the end of the fourth day.
2. He was paid thrice as much for the last day as he was paid for the first day.

Source : Wizako GMAT


St-1---0.4* Sum of all days=4th Day, Sum of n terms in AP is =n/2(2a+(n-1)d)
0.4 * (3*(2a+6*25))=2*(2a+3*25)
1 Variable can be solved for a, then sum can be calculated. Sufficient
St-2---Last day= 3* first day
a/first term can be calculated and then sum also from above. suffcient

Answer is D

Kudos [?]: 8 [0], given: 8

Re: A worker is hired for 7 days. He is paid 25$ more for each day of work   [#permalink] 06 Oct 2017, 10:41
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A worker is hired for 7 days. He is paid 25$ more for each day of work

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