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# Q: John weighs twice as much as Marcia. Marcia's weight is

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Q: John weighs twice as much as Marcia. Marcia's weight is [#permalink]

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31 Jan 2007, 22:12
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Q: John weighs twice as much as Marcia. Marcia's weight is 60% of Bob's weight. Dave weighs 50% of Lee's weight. Lee weighs 190% of John's weight.
Which of these 5 persons weighs the least?

A) Bob
B) Dave
C) John
D) Lee
E) Marcia
Senior Manager
Joined: 12 Mar 2006
Posts: 365
Schools: Kellogg School of Management
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31 Jan 2007, 22:50
J = 2M
M = 0.6B
D = 0.5L
L = 1.9J

J>M, B>M, L>J, D < M ( D = 1.9M)

so M is the least
Manager
Joined: 10 Dec 2005
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01 Feb 2007, 13:26
J = 2M
M = 0.6B
D = 0.5L
L = 1.9J

Hence,

J = 2M
L = 1.9J
L = 3.8M (by subtituting J = 2M)
D = 0.5L
D = 1.9M (by subtituting first L = 3.8M)
M = 0.6B
B = 1.66M

For the above equations clearly M is the least.
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01 Feb 2007, 13:26
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