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Last year, Andre's company gave him a year-end bonus that was between

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Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 21 Feb 2017, 05:33
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Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?

A. $275
B. $375
C. $475
D. $575
E. $675

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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 21 Feb 2017, 05:50
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Bunuel wrote:
Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?

A. $275
B. $375
C. $475
D. $575
E. $675


$160 < Last year's Bonus < $200

This year 200% greater i.e. 3 times t he previous bonus

i.e. 3*$160 < This year's Bonus < 3*$200

i.e. $480 < This year's Bonus < $600

The only value out of options that falls in the obtained range is $575

Answer: option D
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 21 Feb 2017, 06:05
Bunuel wrote:
Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?

A. $275
B. $375
C. $475
D. $575
E. $675



Solution:-

The year end bonus previous year was between 160 and 200. The minimum value of the year end bonus can be 161 and maximum value can be 199.

Considering 200per increment, the bonus in the current year will be three times the previous year's bonus.

Minimum value in the current year=161*3= $483


Maximum value in the current year=199*3= $597

Only one option falls in the above mentioned range, i.e Option D.

Answer- D
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 22 Feb 2017, 01:26
we can find the range of the bonus which is given to andre, the minimum he can get 161*3=483 and the maximum he can get 199*3=597 so the only value which exist with in the range of 483 to 597 is 575 which D so hence answer must be D
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 22 Feb 2017, 01:38
nks2611 wrote:
we can find the range of the bonus which is given to andre, the minimum he can get 161*3=483 and the maximum he can get 199*3=597 so the only value which exist with in the range of 483 to 597 is 575 which D so hence answer must be D



The biggest Mistake is when a test taker assumes that if the money given is greater than 160 then the minimum amount is 161

Nowhere it is mentioned that the amount is in Integers. ;)


" rounded to the nearest dollar?" is to be used for the final answer.

I hope this helps!!!
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 23 Feb 2017, 10:37
1
Bunuel wrote:
Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?

A. $275
B. $375
C. $475
D. $575
E. $675


We are given that Andre received a bonus between $160 and $200 last year and that he received a bonus this year that was 200% greater than last year’s bonus. The phrase “200% greater” means that Andre received a bonus this year that was 3 times as much as the one he received last year.

Let’s determine a range for Andre’s bonus this year. Had he received a bonus of 160 dollars last year, this year he would have received a bonus of 160 x 3 = 480 dollars.

Had he received a bonus of 200 dollars last year, this year he would have received a bonus of 200 x 3 = 600 dollars.

Thus, his bonus this year was between 480 and 600 dollars, so he could have received a bonus of 575 dollars.

Answer: D
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 08 Mar 2017, 20:15
Bunuel wrote:
Last year, Andre's company gave him a year-end bonus that was between $160 and $200. This year, his year-end bonus was 200% greater than it was the previous year. Which of the following could be the value of Andre's bonus this year, rounded to the nearest dollar?

A. $275
B. $375
C. $475
D. $575
E. $675


Official solution from Veritas Prep.

The crucial distinction in this problem is the difference between "percent of" and "percent greater than." When a question asks for "200% percent greater than" you must remember that you add 200% of the original value to the original value. "Greater than" means "add."

So here you can apply the "200% greater than" concept by saying that the the original bonus plus 200% of that original bonus equals the new bonus. In other words, the new bonus is actually triple the original bonus. To establish the range, then start with the smallest possible bonus:

3(160) = 480. So the smallest possible bonus is $480, meaning you can eliminate A, B, and C.

Then establish the upper limit by calculating the amount 200% greater than the high-end bonus of $200:

3(200) = 600. So the largest possible bonus is $600, meaning that the only possible answer is D.
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 09 Mar 2017, 05:19
Andrew's bonus lies in the range of 160 -200
this year he got 200% more or thrice the last year's bonus
Therefore this year bonus will lie in the range of 480-600

Only 575 lies in this range

Option D
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Re: Last year, Andre's company gave him a year-end bonus that was between  [#permalink]

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New post 02 Oct 2018, 21:37
Hi All,

We're told that last year, Andre's company gave him a year-end bonus that was between $160 and $200 and this year, his year-end bonus was 200% GREATER than it was the previous year. We're asked which of the following COULD be the value of Andre's bonus this year, rounded to the nearest dollar? This question comes down to your understanding of percent increases and how specific wording impacts the math involved.

To start, here are some simple examples of the concept involved:
100% OF 100 = 100
100% GREATER than 100 = 100 + 100 = 200
200% GREATER than 100 = 100 + 200 = 300
Etc.

Using this knowledge, we can define the range of what Andre's bonus could be this year...
200% GREATER than $160 = 160 + 320 = $480
200% GREATER than $200 = 200 + 400 = $600
Thus, Andre's bonus has to be between $480 and $600. There's only one answer that fits...

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Re: Last year, Andre's company gave him a year-end bonus that was between &nbs [#permalink] 02 Oct 2018, 21:37
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