a project worth $800

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Thu Apr 02, 2009 3:36 am

A is twice as efficient as B, and C is 50 percent more efficient than A. The three work together on a project worth $800, and would share the sum in proportion to the part of task they contribute. What sum will C receive when the task is done?
A. $200
B. $250
C. $300
D. $350
E. $400

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Source: Beat The GMAT — Problem Solving | Thu Apr 02, 2009 3:36 am

scoobydooby: Legendary Member; Posts: 1035; Joined: Wed Aug 27, 2008 10:56 pmFollowed by: 1 member; Thanked: 104 times

by scoobydooby » Thu Apr 02, 2009 3:57 am

let A do 2W part of the work
B does W part of the work
C does 3W part of the work
=> Cs proportion of contribution: 3W/6W=1/2
so C will receive 1/2*800=$400

hence E

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Thu Apr 02, 2009 1:51 pm

Tricky language!.. I got a few questions while reading the Q.
"C is 50% more efficient than A"
I think it means C is 1.5 times efficient than A.

Pls correct me if I am wrong.

thanks

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gmat740: MBA Student; Posts: 1194; Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members; Location: Paris, France; Thanked: 71 times; GMAT Score:710

by gmat740 » Thu Apr 02, 2009 4:49 pm

@vittal

You are correct

Actually its better to proceed by assuming value of B rather that of A because A is expressed in terms of B as Twice of B

So,

B= W

A =2W

And C= 1.5 of A

C= 1.5 *(2W)

C= 3W

total = 800 =2W+W+3W

W= 800/6

C's share = 3*W
= 3*800/6

=400

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quocbao: Senior | Next Rank: 100 Posts; Posts: 88; Joined: Tue Mar 03, 2009 8:10 am; Thanked: 3 times

by quocbao » Fri Apr 03, 2009 1:20 am

Is it better ?

Let assume A is 100

=> B = 50, C = 150

The ratio will be

A : B : C = 100 : 50 : 150 = 2 : 1 : 3

Or C equal to 3 / (2 + 1 + 3) = 1/2 total

=> C get 1/2 money = 1/2 800 = 400

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gmat740: MBA Student; Posts: 1194; Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members; Location: Paris, France; Thanked: 71 times; GMAT Score:710

by gmat740 » Fri Apr 03, 2009 6:43 am

@Quocbao
it completely depends upon how you perceive a given problem.

Choose which ever way you feel like, after all, it is the answer which matters

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