Machines

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moonlite: Senior | Next Rank: 100 Posts; Posts: 61; Joined: Fri Jun 06, 2008 5:58 am; Thanked: 1 times

by moonlite » Mon Apr 20, 2009 10:30 am

In year Y imported machine tools accounted for 25 percent of total machine-tool sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

(A) 9x/80
(B) 13x/20
(C) 80/9x
(D) 20x/13
(E) 80x/9

Please explain. By the process of elimination i got the right answer but I would like to know how to appraoch this. Thanks.

OA E

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Source: Beat The GMAT — Problem Solving | Mon Apr 20, 2009 10:30 am

mike22629: Master | Next Rank: 500 Posts; Posts: 322; Joined: Fri Mar 27, 2009 3:56 pm; Thanked: 24 times; GMAT Score:710

by mike22629 » Mon Apr 20, 2009 10:49 am

Are you sure its not A?

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mike22629: Master | Next Rank: 500 Posts; Posts: 322; Joined: Fri Mar 27, 2009 3:56 pm; Thanked: 24 times; GMAT Score:710

by mike22629 » Mon Apr 20, 2009 10:55 am

Oh sorry was not answering the question asked.

Here is how you do it.

Imported is 25% of Total ( call total "T")

x = (45/100)(1/4)T

Simplify:

x = (9T/80)

Cross Multiply:

(80x/9) = T

IMO E.

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dumb.doofus: Master | Next Rank: 500 Posts; Posts: 435; Joined: Sat Sep 27, 2008 2:02 pmFollowed by: 1 member; Location: San Jose, CA; Thanked: 43 times; GMAT Score:720

Re: Machines

by dumb.doofus » Mon Apr 20, 2009 10:57 am

moonlite wrote:In year Y imported machine tools accounted for 25 percent of total machine-tool sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

(A) 9x/80
(B) 13x/20
(C) 80/9x
(D) 20x/13
(E) 80x/9

Please explain. By the process of elimination i got the right answer but I would like to know how to appraoch this. Thanks.

OA E

According to question,
a) Japanese imports accounted for 45 percent of the sales of imported machine tools
=> total sale of imported machine tools = 100x/45 ---- 1

b) imported machine tools accounted for 25 percent of total machine-tool sales.
=> 100 *(total sale of imported machine tools)/25

= 100*100*x/(25*45)

= 80x/9

So answer is E

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