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# Each of the items in a box is either a ball or a cube and each item is

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Intern
Joined: 08 Aug 2017
Posts: 4
Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 02:32
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

45% (01:53) correct 55% (01:36) wrong based on 104 sessions

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Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

(A) 18%
(B) 25%
(C) 46%
(D) 50%
(E) 54%

Hi! My calculation for the question before gave me 33% as a result. Obviously, there is no such result in the answer bank.
72*0,54 = 38,88 = 39% blue cubes
72-39 = 33 % red cubes
Could anyone clarify why my calculations are wrong?
Thank you very much for your help.
Math Expert
Joined: 02 Sep 2009
Posts: 52402
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 02:52
1
Kate2017 wrote:
Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

(A) 18%
(B) 25%
(C) 46%
(D) 50%
(E) 54%

Hi! My calculation for the question before gave me 33% as a result. Obviously, there is no such result in the answer bank.
72*0,54 = 38,88 = 39% blue cubes
72-39 = 33 % red cubes
Could anyone clarify why my calculations are wrong?
Thank you very much for your help.

Check below:

Say there are total of 100 items.
72 of the items are cubes and 54 of the items are blue cubes, thus 18 of the items are red cubes.

What percent of the cubes are red?

(red cubes)/(total # of cubes)*100 = 18/72*100 = 25%.

Attachment:

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Manager
Joined: 30 Mar 2017
Posts: 66
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 02:54
I think the answer should be 25% .
If we assume 100 items in the box , then 72 of them are cubes. And 54 of them are blue cubes. Which gives us 18 remaining cubes which must be red colored. And 18 is one fourth or 25% of the total no of cubes(72).

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Intern
Joined: 08 Aug 2017
Posts: 4
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 03:02
Dear Bunuel and BeingHan thanks for your help. I see your point. I got it now!
What if the task say that 72% of the items are cubes and 54% of cubes are blue? Can we apply my calculation in that case?
Manager
Joined: 30 Mar 2017
Posts: 66
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 03:06
Kate2017 wrote:
Dear Bunuel and BeingHan thanks for your help. I see your point. I got it now!
What if the task say that 72% of the items are cubes and 54% of cubes are blue? Can we apply my calculation in that case?

There will be no need to apply any calculation then. Because in that case 46% of cubes will be red, as 54% of the cubes are already blue.

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Current Student
Joined: 18 Aug 2016
Posts: 623
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 03:34
Kate2017 wrote:
Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

(A) 18%
(B) 25%
(C) 46%
(D) 50%
(E) 54%

Hi! My calculation for the question before gave me 33% as a result. Obviously, there is no such result in the answer bank.
72*0,54 = 38,88 = 39% blue cubes
72-39 = 33 % red cubes
Could anyone clarify why my calculations are wrong?
Thank you very much for your help.

100 items
72 cubes
54 blue cubes
red cubes = 72-54 = 18
% of red cubes out of all cubes = (18/72) * 100 = 25%
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Intern
Joined: 08 Aug 2017
Posts: 4
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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09 Aug 2017, 07:05
Senior Manager
Joined: 08 Aug 2017
Posts: 302
Re: Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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28 Oct 2018, 19:48
What percent of the cubes are red? and what percent are red cube? Both are different. later answers 18% but we are asked about first which is (18%/72%)*100= 25%
Senior Manager
Joined: 22 Feb 2018
Posts: 416
Each of the items in a box is either a ball or a cube and each item is  [#permalink]

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28 Oct 2018, 21:49
Kate2017 wrote:
Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

(A) 18%
(B) 25%
(C) 46%
(D) 50%
(E) 54%

OA: B
Let Total Number of items be $$100$$
\begin{matrix}
& Ball & Cubes & Total\\
Red & & 18 & \\
Blue& & 54 & \\
Total& & 72 & 100
\end{matrix}

Percent of the cubes are red $$= \frac{Red \quad Cubes}{Total \quad Cubes}*100 =\frac{18}{72}*100 =25$$%
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Each of the items in a box is either a ball or a cube and each item is &nbs [#permalink] 28 Oct 2018, 21:49
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