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A worker is hired for 7 days. Each day, he is paid 11 dollars more tha

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A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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New post 07 May 2017, 12:18
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  95% (hard)

Question Stats:

44% (02:13) correct 56% (01:44) wrong based on 82 sessions

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Source: Nova GMAT

A worker is hired for 7 days. Each day, he is paid 11 dollars more than what he is paid for the preceding day of work. How much was he paid in total for the 7 days of work?

(1) The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days.
(2) The total amount he was paid in the last 3 days of work equaled $66 more than the total amount he was paid in the first 3 days of work.

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Re: A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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New post 07 May 2017, 12:59
1. During the first 4 days if he was paid for 2 day, he would be paid 11$+22$(33$). During the next 3 days, if he was paid for 1 day, he would be paid(33$).
Total pay: 66$
There is no other possibility for this option. Hence, sufficient.

2.There are 2 possibilities when the worker gets paid 66$ excess in the last 3 days.
Possibility 1
When the worker is paid only during the last 3 days and paid nothing during the first 4 days.
Possibility 2
When the worker is paid twice in the first 3 days, he gets paid 33$ in the first 3 days. On the fourth day, if he is paid 33$ and again during the last 3 days, he is paid twice, he would be paid 99$(44$+55$)
Hence difference between the last 3 days and first 3 days is 66$.
Hence insufficient. (Option A)
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Re: A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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New post 31 May 2017, 08:36
Any simpler solution to this problem ?
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A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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New post 31 May 2017, 11:24
Lets say he gets paid x dollars on first day. That means from first to seventh day, his amounts per day would be:

x, x+11, x+22, x+33, x+44, x+55, x+66.
Total payment = sum of the above = 7x + 231. This is what we need to find, so basically if we can find 'x', we have the answer

Statement 1. Payment for first four days = payment for last three days
x + x+11 + x+22 + x+33 = x+44 + x+55 + x+66
4x + 66 = 3x + 165
Solving this, x can be found. Sufficient.

Statement 2. Payment for first 3 days = x + x+11 + x+22 = 3x + 33
Payment for last 3 days = x+44 + x+55 + x+66 = 3x + 165
Their difference = (3x+165) - (3x+33) = 132
So the difference between last 3 days of payment and first 3 days of payment will Always remain constant at 132, as per this question. Hence, the given difference of 66 doesn't make sense at all.

I would just treat this statement as Insufficient, though this statement doesn't make sense. (If I am missing something in my approach, please let me know)

Hence option A is answer
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Re: A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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New post 31 May 2017, 11:33
amanvermagmat wrote:
Lets say he gets paid x dollars on first day. That means from first to seventh day, his amounts per day would be:

x, x+11, x+22, x+33, x+44, x+55, x+66.
Total payment = sum of the above = 7x + 231. This is what we need to find, so basically if we can find 'x', we have the answer

Statement 1. Payment for first four days = payment for last three days
x + x+11 + x+22 + x+33 = x+44 + x+55 + x+66
4x + 66 = 3x + 165
Solving this, x can be found. Sufficient.

Statement 2. Payment for first 3 days = x + x+11 + x+22 = 3x + 33
Payment for last 3 days = x+44 + x+55 + x+66 = 3x + 165
Their difference = (3x+165) - (3x+33) = 132
So the difference between last 3 days of payment and first 3 days of payment will Always remain constant at 132, as per this question. Hence, the given difference of 66 doesn't make sense at all.

I would just treat this statement as Insufficient, though this statement doesn't make sense. (If I am missing something in my approach, please let me know)

Hence option A is answer

Okay, thank you.
I was planning to do the same way. I think I made a Calculation error.

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Re: A worker is hired for 7 days. Each day, he is paid 11 dollars more tha  [#permalink]

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Re: A worker is hired for 7 days. Each day, he is paid 11 dollars more tha   [#permalink] 11 Aug 2018, 12:45
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