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# The profit from the sale of a certain appliance increases

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Manager
Joined: 08 Jun 2011
Posts: 90

Kudos [?]: 58 [4], given: 65

The profit from the sale of a certain appliance increases [#permalink]

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20 Feb 2012, 15:50
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Difficulty:

5% (low)

Question Stats:

83% (00:43) correct 17% (00:59) wrong based on 362 sessions

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The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. did the profit exceed \$4 million on sales of 380000 units?

(1) The profit exceeded \$2 million on sales of 200,000 units.
(2) The profit exceeded \$5 million on sales of 350,000 units.

OG12, 23 DS

Are we supposed to assume that the remaining 150,000 in A and the remaining 30,000 in B will generate different profits?-that is, they are sold separately as different chunks?

Can't we just say,

2 Million / 200,000 = price per unit? Therefore, answer is D.

OA is
[Reveal] Spoiler:
B

Some people calculate it profit for A this way
[Reveal] Spoiler:
So, for 380,000 units, the profit exceeded (380,000 * 2)/200,000 = \$3.8 million, but it is not clear if the profit exceeded \$4 million or not; NOT sufficient.

Where did they get the 2 from?

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-profit-from-the-sale-of-a-certain-appliance-increases-137874.html
[Reveal] Spoiler: OA

Kudos [?]: 58 [4], given: 65

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128871 [4], given: 12183

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20 Feb 2012, 16:07
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The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. did the profit exceed \$4 million on sales of 380000 units?

Two important notes from the stem:
A. The profit from the sale increases with the number of units sold, so the profit on sales of 2 units is more than the profit on sales of 1 unit;
B. That increase is not proportional, so even though the profit on sales of 2 units is more than the profit on sales of 1 unit, it's not twice as much (it can be 1.1 times more, 5 times more, ..., 1,000,000 times more).

(1) The profit exceeded \$2 million on sales of 200,000 units --> since the increase is not proportional we can not say whether the profit exceeded \$4 million on sales of 380,000 units. Not sufficient.

(2) The profit exceeded \$5 million on sales of 350,000 units --> since the profit on sales of 350,000 units, which is less than 380,000 units, is ALREADY greater than \$4 million, then the profit on sales of 380,000 units will definitely be greater than \$4 million. Sufficient.

Hope it's clear.
_________________

Kudos [?]: 128871 [4], given: 12183

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128871 [0], given: 12183

Re: The profit from the sale of a certain appliance increases [#permalink]

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07 Sep 2013, 10:34
OPEN DISCUSSION OF THIS QUESTION IS HERE: the-profit-from-the-sale-of-a-certain-appliance-increases-137874.html
_________________

Kudos [?]: 128871 [0], given: 12183

Re: The profit from the sale of a certain appliance increases   [#permalink] 07 Sep 2013, 10:34
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