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

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

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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


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[Reveal] Spoiler: OA

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

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New post 02 Mar 2015, 08:10
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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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Re: Given that a “12-inch pizza” means circular pizza with a diameter of 1 [#permalink]

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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%

Answer: E

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

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New post 02 Mar 2015, 21:25
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Answer = E = 125

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

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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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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 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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