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# The cost of a square slab is proportional to its thickness

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Manager
Joined: 09 Feb 2006
Posts: 91
Location: Prague, CZ
Followers: 1

Kudos [?]: 15 [0], given: 0

The cost of a square slab is proportional to its thickness [#permalink]  16 Jul 2006, 06:52
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick. (2) The cost of a square slab that is 3 meters long and 0.1 meter thick is$200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
Senior Manager
Joined: 12 Mar 2006
Posts: 367
Schools: Kellogg School of Management
Followers: 2

Kudos [?]: 36 [0], given: 3

D

in both cases we can get eqs to solve for const in l^2*thk*Const

so we can calculate the ans
VP
Joined: 07 Nov 2005
Posts: 1132
Location: India
Followers: 3

Kudos [?]: 28 [0], given: 1

Got D.

On solving either of the statements, we can get the value of the constant and can then find the required cost of the slab.
SVP
Joined: 30 Mar 2006
Posts: 1739
Followers: 1

Kudos [?]: 45 [0], given: 0

D.
Given

C = K*W*L^2 where K is the constant

1) K*W1*L1^2 - K*W2*L2^2 = 160
Can find K from here.
2) similar to 1

Hence D
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