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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