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At the end of year 2008, Jeremy bought nine dozen goats. Henceforth, every year he added x% of the goats at the beginning of the year and sold y% of the goats at the end of the year where x > 0 and y > 0. If Jeremy had nine dozen goats at the end of year 2012, after making the sales for that year, which of the following must be true?
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
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03 Aug 2022, 18:23
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pintukr
At the end of year 2008, Jeremy bought nine dozen goats. Henceforth, every year he added x% of the goats at the beginning of the year and sold y% of the goats at the end of the year where x > 0 and y > 0. If Jeremy had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following must be true?
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
I'm assuming that the 2002 is supposed to be 2012 since the context suggests that it's supposed to be after 2008. We finish with the same amount we started with.
Could x and y be equal? If we increase 108 by some percentage and then decrease by that same percentage, what happens? The increase is calculated as a percentage of the starting number, and then the decrease is calculated as a percentage of what is now a larger number. The decrease would therefore be larger than the increase, so we would not end up with the same amount at the end. If you need an example, start with 100. Add 50%. Now you have 150. Subtract 50%. Now you have 75. That's fewer than you started with. It doesn't matter what you use in place of the 50%'s, you're going to end up with less. We therefore cannot have x=y. B, C, and D are out.
We are left with x>y or x<y. We just said that when x=y, we end up with fewer than we wanted, so we need to lower y. We need x>y.
Answer choice A.
04 Aug 2022, 01:52
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pintukr
At the end of year 2008, Jeremy bought nine dozen goats. Henceforth, every year he added x% of the goats at the beginning of the year and sold y% of the goats at the end of the year where x > 0 and y > 0. If Jeremy had nine dozen goats at the end of year 2012, after making the sales for that year, which of the following must be true?
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
A. x>y
B. x>=y
C. x=y
D. x<=y
E. x<y
(adapted from gmatfree)
Similar question: at-the-end-of-the-year-1998-shepard-bought-nine-dozen-goats-243399.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
