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The proportion of annual expense on food in a household remains

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The proportion of annual expense on food in a household remains [#permalink]

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New post 06 Dec 2017, 10:36
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

64% (01:24) correct 36% (00:39) wrong based on 47 sessions

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The proportion of annual expense on food in a household remains constant even after the annual expense on food increases by 20%. What would be the increase in Total annual expense?

(A) 0%
(B) 10%
(C) 20%
(D) 25%
(E) Cannot be determined
[Reveal] Spoiler: OA

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Re: The proportion of annual expense on food in a household remains [#permalink]

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New post 06 Dec 2017, 10:43
I think its E

Bcoz answer depends on how many other proportions are there in the household.


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Re: The proportion of annual expense on food in a household remains [#permalink]

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New post 06 Dec 2017, 12:11
chetan2u wrote:
The proportion of annual expense on food in a household remains constant even after the annual expense on food increases by 20%. What would be the increase in Total annual expense?

(A) 0%
(B) 10%
(C) 20%
(D) 25%
(E) Cannot be determined


Let the proportion of expense on food to the total expense be x:y

The expense on food increases by 20%, making the expense on food 1.2x
Since this proportion has to remain constant, the total expense must become 1.2y(a 20% increase) (Option C)
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Re: The proportion of annual expense on food in a household remains   [#permalink] 06 Dec 2017, 12:11
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