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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of$1000. She invested

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At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of $1000. She invested by BTGmoderatorDC » Tue Feb 11, 2020 1:47 am At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of$1000. She invested p percent of her savings in account X, which yielded a simple interest of 8 percent per annum, and the rest of the savings in account Y, which yielded a simple interest of 6 percent per annum. Was the amount of interest earned by account X greater than the amount of interest earned by account Y during the year 2015?

(1) The value of p was between 25 and 30, inclusive

(2) The total interest earned by the two accounts during 2015 was $66 OA D Source: e-GMAT GMAT/MBA Expert GMAT Instructor Posts: 2583 Joined: 02 Jun 2008 Location: Toronto Thanked: 1090 times Followed by:355 members GMAT Score:780 Re: At the start of 2015, Jane opened two new accounts – X and Y – to invest her total savings of$1000. She invested

by Ian Stewart » Tue Feb 11, 2020 1:15 pm
Even if she invests the maximum Statement 1 allows, namely $300, at 8% interest, and the remaining$700 at 6%, the 8% account won't earn anywhere close to the interest earned by the 6% account, so Statement 1 is sufficient.

Clearly the more she invests at 8%, the more interest she earns. So if we know exactly how much interest she earned, we must be able to find a single value for the amount she invested at 8%. So it must be possible to find p from Statement 2 and from there we can find all the numbers and answer the question, so the answer is D.
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