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26 Aug 2012, 03:10
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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 380,000 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.
(1) The profit exceeded $2 million on sales of 200,000 units.
(2) The profit exceeded $5 million on sales of 350,000 units.
31 Aug 2012, 02:21
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SOLUTION:
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 380,000 units?
Two important notes from the stem:
(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.
Answer: B.
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 380,000 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.
Answer: B.
General Discussion
20 Jan 2013, 19:41
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Bunuel
SOLUTION:
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 380,000 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.
Answer: B.
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 380,000 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.
Answer: B.
The data is given only for 350,000 units. Here we are taking assumption that next 30,000 units fetch no loss. Is this valid point ? I'm confused.
