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The profit from the sale of a certain appliance increases

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The profit from the sale of a certain appliance increases [#permalink] New post 26 Aug 2012, 02:10
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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.

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Re: The profit from the sale of a certain appliance increases [#permalink] New post 31 Aug 2012, 01:21
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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:
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.
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Re: The profit from the sale of a certain appliance increases [#permalink] New post 20 Jan 2013, 18:41
Bunuel wrote:
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 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. :?
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Re: The profit from the sale of a certain appliance increases [#permalink] New post 21 Jan 2013, 02:35
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grakesh wrote:
Bunuel wrote:
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 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. :?


Please read solutions carefully.

We are told that: the profit from the sale increases with the number of units sold. (2) says that the profit exceeded $5 million on sales of 350,000 units. Now, 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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The profit from the sale of a certain appliance increases [#permalink] New post 21 Jan 2013, 06:08
Thanks for the explaination. I got it.
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Re: The profit from the sale of a certain appliance increases [#permalink] New post 17 Jun 2014, 18:16
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Re: The profit from the sale of a certain appliance increases   [#permalink] 17 Jun 2014, 18:16
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