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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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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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Bunuel
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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Bunuel
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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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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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...

Final Answer:

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Since the value of this year’s bonus is 200% more than that of the previous year, this year’s bonus will be 300% of the previous year’s bonus.

The lowest bonus that Andre can get = $160*300/100 = $480
The highest bonus that Andre can get = $200*300/100 = $600

Since only option D is in the range of $480-600,
The correct option is D.
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