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# A computer dealership has a number of computers to be sold by its sale

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
A computer dealership has a number of computers to be sold by its sale  [#permalink]

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22 Oct 2018, 00:19
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:19) correct 24% (00:58) wrong based on 36 sessions

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A computer dealership has a number of computers to be sold by its sales persons. How many computers are up for the sale?

(1) If each of the sales persons sells 5 of the computers, 18 computers will remain in stock.
(2) If each of the sales persons sells 4 of the computers, 28 computers will remain in stock.

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Re: A computer dealership has a number of computers to be sold by its sale  [#permalink]

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22 Oct 2018, 04:30
Bunuel wrote:
A computer dealership has a number of computers to be sold by its sales persons. How many computers are up for the sale?

(1) If each of the sales persons sells 5 of the computers, 18 computers will remain in stock.
(2) If each of the sales persons sells 4 of the computers, 28 computers will remain in stock.

Question: How many computers are up for the sale?

Statement 1: If each of the sales persons sells 5 of the computers, 18 computers will remain in stock.

Total Computers for sale = 5*S+18
But we don't know how many sales persons are there in dealership hence
NOT SUFFICIENT

Statement 2: If each of the sales persons sells 4 of the computers, 28 computers will remain in stock.

Total Computers for sale = 4*S+28
But we don't know how many sales persons are there in dealership hence
NOT SUFFICIENT

Combining the two statements
5*S+18 = 4*S+28

i.e. S = 10

i.e. Computers on sale = 4*S+28 = 68

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Re: A computer dealership has a number of computers to be sold by its sale  [#permalink]

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22 Oct 2018, 22:27
Bunuel wrote:
A computer dealership has a number of computers to be sold by its sales persons. How many computers are up for the sale?

(1) If each of the sales persons sells 5 of the computers, 18 computers will remain in stock.
(2) If each of the sales persons sells 4 of the computers, 28 computers will remain in stock.

assuming n is the number of sales persons.

from Statement 1, # of computers = 5n + 18
don't know n, hence, not suff.

from Statement 2, # of computers = 4n + 28
don't know n, hence, not suff.

combine: 5n + 18 = 4n + 28
or, n = 10
hence, # of computers = 5 * 10 + 18 (or 4 * 10 + 28) = 68
hence, option C.
Re: A computer dealership has a number of computers to be sold by its sale   [#permalink] 22 Oct 2018, 22:27
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