The profit from sale

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TheAnuja55: Senior | Next Rank: 100 Posts; Posts: 35; Joined: Wed Jul 27, 2011 12:35 amFollowed by: 2 members

by TheAnuja55 » Fri Oct 19, 2012 10:54 am

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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Source: Beat The GMAT — Data Sufficiency | Fri Oct 19, 2012 10:54 am

vikram4689: Legendary Member; Posts: 1325; Joined: Sun Nov 01, 2009 6:24 amFollowed by: 14 members; Thanked: 105 times

by vikram4689 » Fri Oct 19, 2012 9:48 pm

B)

If profit has already exceeded $5(>4)million by selling 350000(>380000) then We know that profit will exceed $4 million by selling 380000 units.

We don't have enough information to apply same logic for A)

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Fri Oct 19, 2012 10:40 pm

TheAnuja55 wrote: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) For 200,000 units, the profit exceeded $2 million
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.

(2) For 350,000 units, the profit exceeded $5 million.
So, for 380,000 units, the profit exceeded (380,000 * 5)/350,000 = $5.4 million, which clearly means that the profit exceeded $4 million; SUFFICIENT.

The correct answer is B.

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ihatemaths: Master | Next Rank: 500 Posts; Posts: 122; Joined: Tue May 01, 2012 6:05 am; Thanked: 3 times

by ihatemaths » Sat Oct 20, 2012 12:11 am

it is stated not propotional , then why bring in propotionality wrt to statement 1?

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