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Total cost of an item is formed out of three costs: Material cost, Lab

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
Total cost of an item is formed out of three costs: Material cost, Lab  [#permalink]

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25 Sep 2018, 04:14
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Difficulty:

55% (hard)

Question Stats:

58% (02:13) correct 42% (03:01) wrong based on 36 sessions

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Total cost of an item is formed out of three costs: Material cost, Labour cost, Factory overhead cost, and Office overhead cost. If Material cost and Labour cost constitute 3/7 part of the total cost, Labour cost and Factory overhead cost constitute 1/2 part of the total cost, Factory overhead cost and Office overhead cost constitute 4/7 part of the total cost, and Material cost and Office overhead cost constitute 1/2 part of the total cost, which of the four cost is the highest among all?

(A) Material cost
(B) Labour cost
(C) Factory overhead cost
(D) Office overhead cost
(E) Factory overhead cost or Office overhead cost

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Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Total cost of an item is formed out of three costs: Material cost, Lab  [#permalink]

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29 Sep 2018, 17:58
Bunuel wrote:
Total cost of an item is formed out of three costs: Material cost, Labour cost, Factory overhead cost, and Office overhead cost. If Material cost and Labour cost constitute 3/7 part of the total cost, Labour cost and Factory overhead cost constitute 1/2 part of the total cost, Factory overhead cost and Office overhead cost constitute 4/7 part of the total cost, and Material cost and Office overhead cost constitute 1/2 part of the total cost, which of the four cost is the highest among all?

(A) Material cost
(B) Labour cost
(C) Factory overhead cost
(D) Office overhead cost
(E) Factory overhead cost or Office overhead cost

Material cost, Labour cost, Factory overhead cost, and Office overhead cost.
If Material cost and Labour cost constitute 3/7 part of the total cost, so M+L=3/7 *T Labour cost and Factory overhead cost constitute 1/2 part of the total cost, so L+F=1/2*T....
Since 1/2*T>3/7*T... L+F>M+L..... F>M

Material cost and labour cost constitute 3/7 part of the total cost, so M+L=3T/7
and Material cost and Office overhead cost constitute 1/2 part of the total cost, so M+O=T/2
Since 1/2*T>3/7*T... M+0>M+L..... O>L

So any of the two - F or O

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: Total cost of an item is formed out of three costs: Material cost, Lab   [#permalink] 29 Sep 2018, 17:58
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Total cost of an item is formed out of three costs: Material cost, Lab

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