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The annual budget of a certain college is to be shown on a circle grap

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Bunuel
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The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   10 Jan 2014, 07:07
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The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°
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C
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Bunuel
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   10 Jan 2014, 07:08
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SOLUTION

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

The whole circumference is 360°.

15 percent of 360° is 15/100*360 = 54°.

Answer: C.
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   10 Jan 2014, 11:05
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°



15 is out 100 and the sum of all the angles is 360
So required answer is 15*360/100 = 54 - Option C)
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   23 Apr 2014, 03:35
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100 % ------- > 360 degrees
15% ----------->???? degrees

(15*360)/100 = 54 degrees.
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   03 Oct 2015, 09:29
How I do it:

How many degree to represent an item that is 15%

15/100 = x/360
360 x 15/100 = x
x = 54
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   13 Apr 2017, 02:21
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

[/textarea]


(A) is a very nice trap answer if one if running out of time and doesn't think it through!

Anyways, I think the best approach is that of blendercroix - short a sweet proportion.
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   07 Oct 2017, 03:04
1. 360 degrees in circle
2. half of 360 is 180; half of 100 is 50; therefore, 180degrees is used to represent 50% of the budget
3. half of 180 is 90; half of 50 is 25
4. half of 90 is 45; half of 25 is 12.5(2.5% lower than 15%)
5. you know it is within the range of 45-60, so eliminate the answer choices that are either too low or high

therefore; the answer is 54%(C)
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   07 Oct 2017, 03:14
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Problem Solving
Question: 33
Category: Arithmetic Percents; Interpretation of graphs
Page: 66
Difficulty: 600


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Since the circular graph has to show 15% on the graph paper. So it has to have a same proportion on the graph
Hence 15/100 = x/360
x = 54

Answer C
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink] New post   03 Jun 2023, 06:03
To find the number of degrees that corresponds to 15 percent of the circle, we can set up the following proportion:

15 percent / 100 percent = x degrees / 360 degrees

Simplifying the proportion, we have:

0.15 = x / 360

To solve for x, we can multiply both sides of the equation by 360:

0.15 * 360 = x
54 = x

Therefore, 15 percent of the circle corresponds to 54 degrees, which corresponds to option (C).
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Re: The annual budget of a certain college is to be shown on a circle grap [#permalink]
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