Q: == Over a holiday weekend, a certain car dealer sold off

Question

Q:
==
Over a holiday weekend, a certain car dealer sold off the cars on its lot. If the cars sold for an
average of $6,000 each, how many cars were on the dealer’s lot at the beginning of the weekend?
(1) The average value of the remaining cars on the lot is $5,000.
(2) The car dealer made $48,000 in car sales over the weekend.

ANSWER:
=======
B. Given statement (1) alone, we only know average values of both the cars that were sold and
the cars that remained; the dealer could have sold 4 cars and had 1 left, or sold 8 cars and had 2
left, or an infinite number of other options. So we can eliminate A and D.
With statement (2), we are able to find the number of cars sold by dividing the total sales by the
average price. 48,000/6,000 = 8, so the dealer sold 8 cars. Since that is 4/5
of the cars on the lot,
the dealer started off with 10 cars. Statement (2) is sufficient, so the answer is B.

I'm having a hard time try to understand where did they came out 4/5 just from (2)

anyone cared to explain it to me?

Thanks All

greenoak · Answer

Hi, rapsodi,

It seems that this problem is incomplete. There should be an exact number of cars sold in the problem situation. Otherwise the explanation doesn't make sence.

BTW, what is the source of this question?

rapsody · Answer

Thanks greenoak, for your fast reply

I thought I'm the only one whose having difficulties understanding the answer sheet.

its taken from McGraw Hill GMAT 2008 Edition page 21.

I hope you're right about it being incomplete.

scthakur · Answer

I think the answer choice should be C. From the second statement, we get number of cars sold as 8. From the first statement, we get the ratio of number of cars sold to number of cars remaining.

IanStewart · Answer

Yes, the answer to the question, as posted, is certainly not B (it should be E). My only guess is that the question means to say:

"Over a holiday weekend, a certain car dealer sold  4/5 of  the cars on its lot. If the cars sold for an average of $6,000 each, how many cars were on the dealer’s lot at the beginning of the weekend?"

But as it stands, there's no way to know how many cars are left at the end of the weekend.

Q: == Over a holiday weekend, a certain car dealer sold off

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