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Laura sells encyclopaedias, and her monthly income has two

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Kudos [?]: 9 [0], given: 17

Re: Laura sells encyclopaedias, and her monthly income has two [#permalink] New post 04 Mar 2013, 21:45
From 1 & 2 we concluded that c = 600. Now if she sold 10 sets of books. Her income is 1000+ 600 * (10 - n).
But we do not know n. we have to keep in mind that n should be greater than 3 ( the 1st condition says if sold 3 less and still 2 below target).
We can still have n=4 or n=5 and still satisfy both conditions. So there can be multiple values of income. Hence i think that e is the answer.

Moreover from condition 2 we know her march income is more than 4000. So 1600 as per calculation cannot be her income.
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Kudos [?]: 26351 [0], given: 2710

Re: Laura sells encyclopaedias, and her monthly income has two [#permalink] New post 05 Mar 2013, 00:42
Expert's post
srcc25anu wrote:
From 1 & 2 we concluded that c = 600. Now if she sold 10 sets of books. Her income is 1000+ 600 * (10 - n).
But we do not know n. we have to keep in mind that n should be greater than 3 ( the 1st condition says if sold 3 less and still 2 below target).
We can still have n=4 or n=5 and still satisfy both conditions. So there can be multiple values of income. Hence i think that e is the answer.

Moreover from condition 2 we know her march income is more than 4000. So 1600 as per calculation cannot be her income.


OA for this question is C. Solutions are on page 1.
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Re: Laura sells encyclopaedias, and her monthly income has two [#permalink] New post 13 Apr 2013, 19:08
In part 1, we know that 1 extra book is equal to either $200, $300, or $600 because she is either 1 book, 2 books, or 3 books over the threshold.

In part 2, we know that her total revenue from selling 10 encyclopedias is GREATER THAN 4000. A fixed part of her revenue is $1000, so we subtract that to get the variable part:

Her Variable revenue for 10 encyclopedias is GREATER THAN 3000.

Therefore, her variable revenue for 1 encyclopedia is GREATER THAN 300.

Because from part 1 we know that the variable revenue from each book could be one of only three options, and because only one of those options is GREATER THAN $300 per book, we know that she gets paid a base of $1000 and then $600 per book for each book over the threshold.

However, here's the trick... We know that if she had sold THREE fewer in march, then she would have made $600 less.. which means that she sold only ONE encyclopedia over the threshold. That means she only gets paid for ONE encyclopedia, plus her base pay. Even though we don't know what the threshold is, we know that $1000 + $600 = $1600, her salary in March.

C does it.
Re: Laura sells encyclopaedias, and her monthly income has two   [#permalink] 13 Apr 2013, 19:08
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