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In how many categories did the total number of items (import and expor

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In how many categories did the total number of items (import and expor  [#permalink]

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New post 28 May 2017, 05:58
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Re: In how many categories did the total number of items (import and expor  [#permalink]

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New post 28 May 2017, 06:02
B in Autos (50% of 200 + 10% of 100 = 110) and Textile ( 30% of 200 + 20% of 100 = 80) are greater than 75 million hence 2


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Re: In how many categories did the total number of items (import and expor  [#permalink]

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New post 26 Nov 2017, 11:29
Hi All,

In this question, we're looking for the categories in which the TOTAL imports and exports are at least $75 million. The math involved is really just arithmetic, but we have to make sure that we keep careful track of each category. There is a minor 'shortcut' in this question though:
between the two pie charts, there is a total of $300 million; you might notice after your first two calculations that there's not enough money left for either of the final 2 categories to total $75 million.


Autos: (50% of $200 mill) + (10% of $100 mill) = $110 million
Textiles: (30% of $200 mill) + (20% of $100 mill) = $80 million
Food: (5% of $200 mill) + (40% of $100 mill) = $50 million
Tech: (15% of $200 mill) + (30% of $100 mill) = $60 million

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In how many categories did the total number of items (import and expor  [#permalink]

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New post Updated on: 27 Nov 2017, 11:17
In how many categories did the total number of items (import and export) exceed 75 million?

(A) 1
(B) 2
(C) 3
(D) 4
(E) none
======================
Solution:

75 = 37.5% of 200
75 = 7.5% 0f 100
combined import and export = 45%
adding the percentage of import and export of all categories should be greater than 45%.
This is true in case of Autos and Textiles.

Therefore, 2 is the answer (B).
Please let me know your views.

Originally posted by anjaliarora on 27 Nov 2017, 08:16.
Last edited by anjaliarora on 27 Nov 2017, 11:17, edited 1 time in total.
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Re: In how many categories did the total number of items (import and expor  [#permalink]

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New post 27 Nov 2017, 09:45
In how many categories did the total number of items (import and export) exceed 75 million?

(A) 1
(B) 2
(C) 3
(D) 4
(E) none[/quote]

Answer is B.
The import and export exceeds in case of 'Autos' and 'Textiles' only.

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Re: In how many categories did the total number of items (import and expor  [#permalink]

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New post 29 Nov 2017, 10:14
Bunuel wrote:
Image

In how many categories did the total number of items (import and export) exceed 75 million?

(A) 1
(B) 2
(C) 3
(D) 4
(E) none



The combined autos is 200 x 0.5 + 100 x 0.1 = 100 + 10 = 110 million

The combined textiles is 200 x 0.3 + 100 x 0.2 = 60 + 20 = 80 million

The combined food is 200 x 0.05 + 100 x 0.4 = 10 + 40 = 50 million

The combined tech is 200 x 0.15 + 100 x 0.3 = 30 + 30 = 60 million

Thus, 2 categories exceeded 75 million.

Answer: B
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Re: In how many categories did the total number of items (import and expor   [#permalink] 29 Nov 2017, 10:14
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