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# Given that a “12-inch pizza” means circular pizza with a diameter of 1

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Math Expert
Joined: 02 Sep 2009
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Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 07:23
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75% (00:55) correct 25% (00:38) wrong based on 109 sessions

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Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Kudos [?]: 135463 [0], given: 12695

Manager
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74

Kudos [?]: 68 [1], given: 39

Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 08:10
1
KUDOS
area of 8 inch pizza= 4*4*pi=16 pi
area of 12 inch pizza =6*6*pi=36 pi

20/16*100=125% increase

36> 32(100% increase) hence its greater than 100% hence its option E as its only option with 100+ hence answer is E

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Senior Manager
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Location: United States
Concentration: Strategy, General Management
Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 18:08
1
KUDOS
Bunuel wrote:
Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.

(36$${pi}$$-16$${pi}$$)/(16$${pi}$$) = 5/4

125%

Kudos [?]: 144 [1], given: 133

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Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

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Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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02 Mar 2015, 21:25
1
KUDOS

Area $$= \pi r^2$$ ( $$\pi$$ is constant, no need not be considered for the required calculation)

Variable increase is from $$4^2 to 6^2$$

Percent increase $$=\frac{(36-16)*100}{16} = 125$$
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Kudos [?]: 2785 [1], given: 193

Math Expert
Joined: 02 Sep 2009
Posts: 42577

Kudos [?]: 135463 [1], given: 12695

Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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08 Mar 2015, 13:05
1
KUDOS
Expert's post
Bunuel wrote:
Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?

(A) 33
(B) 50
(C) 67
(D) 80
(E) 125

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:

The 8-inch pizza has a radius of r = 4, so the area is $$A=16\pi$$. That area is how much pizza you get. The 12-inch pizza has a radius of r = 6 and an area of $$A=36\pi$$. When you change from 16 to 36, what is the percentage change? Well, that’s more than double, so it must be a percent greater than 100%. The only answer choice greater than 100% is answer E.
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Kudos [?]: 135463 [1], given: 12695

Intern
Joined: 24 Oct 2016
Posts: 25

Kudos [?]: 0 [0], given: 16

Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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15 Oct 2017, 03:28
A diameter of 12 means a radius of 6 and an area of 36π.
A diameter of 8 means a radius of 4 and an area of 16π.

An increase of 125% from 16π to 36π.

E.

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Given that a “12-inch pizza” means circular pizza with a diameter of 1   [#permalink] 15 Oct 2017, 03:28
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