Saturday, December 25, 2010

CP #23

From GMATClub.com's m#05:


4. Two watermelons, A and B, are on sale. Watermelon A has a circumference of 6 inches; watermelon B, 5 inches. If the price of watermelon A is 1.5 times the price of watermelon B, which watermelon is a better buy?
(Assume that the two watermelons are spheres).
(C) 2008 GMAT Club - [t]m05#4[/t]
  • A
  • B
  • Neither
  • Both
  • Impossible to determine

 
Approach 1:
Value = Volume / Price
The volume is proportional to radius^3 and the circumference is proportional to the radius. Increasing the circumference by 6/5 = 20% increases the volume by 1.2^3 = 1.728 (72.8%) and increases the price by 50%.
The increase in value of Watermelon A is 1.728 / 1.5 = 15.3% .

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