MGMAT quistion

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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Sat Jan 15, 2011 4:25 am

As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?

I. y > 2x

II. y > x

III. y > 3

--------
Ankur mittal

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Source: Beat The GMAT — Data Sufficiency | Sat Jan 15, 2011 4:25 am

arora007: Community Manager; Posts: 1048; Joined: Mon Aug 17, 2009 3:26 amFollowed by: 27 members; Location: India; Thanked: 51 times; GMAT Score:670

by arora007 » Sat Jan 15, 2011 7:36 am

tough one.... is the answer II and III ?

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anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Sat Jan 15, 2011 8:16 am

ankurmit wrote:As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?

I. y > 2x

II. y > x

III. y > 3

Here II is obviously right, no need to check for it. To earn more you got to sell more.

Lets test I :
y> 2x

x = 5, dollars earned = 20+5*6 = 50
y = 10, dollars earned = 20+6*6+4*12 = 20+36+48 = 124 (but, y is not greater than 2x).

Lets test III:

If y=3:
Max dollars earned = 20+3*6 = 38
Minimum value of x = 0 => Minimum dollar earned = 20 (more than half of dollars earned by selling 3 bicycles)
So, y has to be more than 3.

Hence, II and III.

Thanks
Anshu

(Every mistake is a lesson learned )

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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Sun Jan 16, 2011 4:43 am

U are right .

[spoiler]II. y > x

III. y > 3

are correct [/spoiler]

--------
Ankur mittal

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